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Finding the Fourth Proportional to 25,711.56, 38,571.12 and 9,068.58

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Solution

The fourth proportional to 25,711.56, 38,571.12 and 9,068.58 is: 13,604.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,711.56 : 38,571.12 = 9,068.58 : x
  2. Step 2: Convert to fraction form
    25,711.56/38,571.12 = 9,068.58/x
  3. Step 3: Cross multiply
    25,711.56x = 38,571.12 × 9,068.58
  4. Step 4: Simplify right side
    25,711.56x = 349,785,287.41
  5. Step 5: Solve for x
    x = 349,785,287.41/25,711.56
  6. Step 6: Final answer
    x = 13,604.20

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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.