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Finding the Fourth Proportional to 19,527.20, 29,257.20 and 9,117.60

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Solution

The fourth proportional to 19,527.20, 29,257.20 and 9,117.60 is: 13,660.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,527.20 : 29,257.20 = 9,117.60 : x
  2. Step 2: Convert to fraction form
    19,527.20/29,257.20 = 9,117.60/x
  3. Step 3: Cross multiply
    19,527.20x = 29,257.20 × 9,117.60
  4. Step 4: Simplify right side
    19,527.20x = 266,755,446.72
  5. Step 5: Solve for x
    x = 266,755,446.72/19,527.20
  6. Step 6: Final answer
    x = 13,660.71

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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.