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Finding the Fourth Proportional to 25,337.49, 38,007 and 8,697.28

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Solution

The fourth proportional to 25,337.49, 38,007 and 8,697.28 is: 13,046.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,337.49 : 38,007 = 8,697.28 : x
  2. Step 2: Convert to fraction form
    25,337.49/38,007 = 8,697.28/x
  3. Step 3: Cross multiply
    25,337.49x = 38,007 × 8,697.28
  4. Step 4: Simplify right side
    25,337.49x = 330,557,520.96
  5. Step 5: Solve for x
    x = 330,557,520.96/25,337.49
  6. Step 6: Final answer
    x = 13,046.18

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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.