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Finding the Fourth Proportional to 25,792.72, 38,694.89 and 9,152.73

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Solution

The fourth proportional to 25,792.72, 38,694.89 and 9,152.73 is: 13,731.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,792.72 : 38,694.89 = 9,152.73 : x
  2. Step 2: Convert to fraction form
    25,792.72/38,694.89 = 9,152.73/x
  3. Step 3: Cross multiply
    25,792.72x = 38,694.89 × 9,152.73
  4. Step 4: Simplify right side
    25,792.72x = 354,163,903.43
  5. Step 5: Solve for x
    x = 354,163,903.43/25,792.72
  6. Step 6: Final answer
    x = 13,731.16

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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.