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Finding the Fourth Proportional to 25,462.28, 38,152.38 and 13,781

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Solution

The fourth proportional to 25,462.28, 38,152.38 and 13,781 is: 20,649.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,462.28 : 38,152.38 = 13,781 : x
  2. Step 2: Convert to fraction form
    25,462.28/38,152.38 = 13,781/x
  3. Step 3: Cross multiply
    25,462.28x = 38,152.38 × 13,781
  4. Step 4: Simplify right side
    25,462.28x = 525,777,948.78
  5. Step 5: Solve for x
    x = 525,777,948.78/25,462.28
  6. Step 6: Final answer
    x = 20,649.29

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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.