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Finding the Fourth Proportional to 38,266.92, 57,406.14 and 13,641

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Solution

The fourth proportional to 38,266.92, 57,406.14 and 13,641 is: 20,463.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,266.92 : 57,406.14 = 13,641 : x
  2. Step 2: Convert to fraction form
    38,266.92/57,406.14 = 13,641/x
  3. Step 3: Cross multiply
    38,266.92x = 57,406.14 × 13,641
  4. Step 4: Simplify right side
    38,266.92x = 783,077,155.74
  5. Step 5: Solve for x
    x = 783,077,155.74/38,266.92
  6. Step 6: Final answer
    x = 20,463.55

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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.