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Finding the Fourth Proportional to 25,659.96, 38,497.20 and 9,872.24

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Solution

The fourth proportional to 25,659.96, 38,497.20 and 9,872.24 is: 14,811.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,659.96 : 38,497.20 = 9,872.24 : x
  2. Step 2: Convert to fraction form
    25,659.96/38,497.20 = 9,872.24/x
  3. Step 3: Cross multiply
    25,659.96x = 38,497.20 × 9,872.24
  4. Step 4: Simplify right side
    25,659.96x = 380,053,597.73
  5. Step 5: Solve for x
    x = 380,053,597.73/25,659.96
  6. Step 6: Final answer
    x = 14,811.15

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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.