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Finding the Fourth Proportional to 25,747.99, 38,617.21 and 9,108.16

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Solution

The fourth proportional to 25,747.99, 38,617.21 and 9,108.16 is: 13,660.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,747.99 : 38,617.21 = 9,108.16 : x
  2. Step 2: Convert to fraction form
    25,747.99/38,617.21 = 9,108.16/x
  3. Step 3: Cross multiply
    25,747.99x = 38,617.21 × 9,108.16
  4. Step 4: Simplify right side
    25,747.99x = 351,731,727.43
  5. Step 5: Solve for x
    x = 351,731,727.43/25,747.99
  6. Step 6: Final answer
    x = 13,660.55

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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.