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Finding the Fourth Proportional to 25,792.34, 38,686.92 and 9,150.18

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Solution

The fourth proportional to 25,792.34, 38,686.92 and 9,150.18 is: 13,724.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,792.34 : 38,686.92 = 9,150.18 : x
  2. Step 2: Convert to fraction form
    25,792.34/38,686.92 = 9,150.18/x
  3. Step 3: Cross multiply
    25,792.34x = 38,686.92 × 9,150.18
  4. Step 4: Simplify right side
    25,792.34x = 353,992,319.87
  5. Step 5: Solve for x
    x = 353,992,319.87/25,792.34
  6. Step 6: Final answer
    x = 13,724.71

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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.