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Finding the Fourth Proportional to 22,425.68, 33,642.12 and 6,842

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Solution

The fourth proportional to 22,425.68, 33,642.12 and 6,842 is: 10,264.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,425.68 : 33,642.12 = 6,842 : x
  2. Step 2: Convert to fraction form
    22,425.68/33,642.12 = 6,842/x
  3. Step 3: Cross multiply
    22,425.68x = 33,642.12 × 6,842
  4. Step 4: Simplify right side
    22,425.68x = 230,179,385.04
  5. Step 5: Solve for x
    x = 230,179,385.04/22,425.68
  6. Step 6: Final answer
    x = 10,264.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.