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Finding the Fourth Proportional to 25,160.46, 37,747.17 and 9,569.58

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Solution

The fourth proportional to 25,160.46, 37,747.17 and 9,569.58 is: 14,356.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,160.46 : 37,747.17 = 9,569.58 : x
  2. Step 2: Convert to fraction form
    25,160.46/37,747.17 = 9,569.58/x
  3. Step 3: Cross multiply
    25,160.46x = 37,747.17 × 9,569.58
  4. Step 4: Simplify right side
    25,160.46x = 361,224,563.09
  5. Step 5: Solve for x
    x = 361,224,563.09/25,160.46
  6. Step 6: Final answer
    x = 14,356.83

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