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Finding the Fourth Proportional to 24,225,978.14, 33,433,859.67 and 13,914,691.10

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Solution

The fourth proportional to 24,225,978.14, 33,433,859.67 and 13,914,691.10 is: 19,203,428.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,225,978.14 : 33,433,859.67 = 13,914,691.10 : x
  2. Step 2: Convert to fraction form
    24,225,978.14/33,433,859.67 = 13,914,691.10/x
  3. Step 3: Cross multiply
    24,225,978.14x = 33,433,859.67 × 13,914,691.10
  4. Step 4: Simplify right side
    24,225,978.14x = 465,221,829,588,797.94
  5. Step 5: Solve for x
    x = 465,221,829,588,797.94/24,225,978.14
  6. Step 6: Final answer
    x = 19,203,428.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.