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Finding the Fourth Proportional to 24,801, 34,225.47 and 13,623

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Solution

The fourth proportional to 24,801, 34,225.47 and 13,623 is: 18,799.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,801 : 34,225.47 = 13,623 : x
  2. Step 2: Convert to fraction form
    24,801/34,225.47 = 13,623/x
  3. Step 3: Cross multiply
    24,801x = 34,225.47 × 13,623
  4. Step 4: Simplify right side
    24,801x = 466,253,577.81
  5. Step 5: Solve for x
    x = 466,253,577.81/24,801
  6. Step 6: Final answer
    x = 18,799.79

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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.