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Finding the Fourth Proportional to 25,757.28, 38,639.16 and 9,113.40

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Solution

The fourth proportional to 25,757.28, 38,639.16 and 9,113.40 is: 13,671.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,757.28 : 38,639.16 = 9,113.40 : x
  2. Step 2: Convert to fraction form
    25,757.28/38,639.16 = 9,113.40/x
  3. Step 3: Cross multiply
    25,757.28x = 38,639.16 × 9,113.40
  4. Step 4: Simplify right side
    25,757.28x = 352,134,120.74
  5. Step 5: Solve for x
    x = 352,134,120.74/25,757.28
  6. Step 6: Final answer
    x = 13,671.25

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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.