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Finding the Fourth Proportional to 25,920.28, 35,773.43 and 14,592

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Solution

The fourth proportional to 25,920.28, 35,773.43 and 14,592 is: 20,138.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,920.28 : 35,773.43 = 14,592 : x
  2. Step 2: Convert to fraction form
    25,920.28/35,773.43 = 14,592/x
  3. Step 3: Cross multiply
    25,920.28x = 35,773.43 × 14,592
  4. Step 4: Simplify right side
    25,920.28x = 522,005,890.56
  5. Step 5: Solve for x
    x = 522,005,890.56/25,920.28
  6. Step 6: Final answer
    x = 20,138.90

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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.