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Finding the Fourth Proportional to 25,697.28, 38,544.53 and 8,165.74

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Solution

The fourth proportional to 25,697.28, 38,544.53 and 8,165.74 is: 12,248.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,697.28 : 38,544.53 = 8,165.74 : x
  2. Step 2: Convert to fraction form
    25,697.28/38,544.53 = 8,165.74/x
  3. Step 3: Cross multiply
    25,697.28x = 38,544.53 × 8,165.74
  4. Step 4: Simplify right side
    25,697.28x = 314,744,505.98
  5. Step 5: Solve for x
    x = 314,744,505.98/25,697.28
  6. Step 6: Final answer
    x = 12,248.17

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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.