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Finding the Fourth Proportional to 24,527.80, 36,773.70 and 9,729.40

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Solution

The fourth proportional to 24,527.80, 36,773.70 and 9,729.40 is: 14,586.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,527.80 : 36,773.70 = 9,729.40 : x
  2. Step 2: Convert to fraction form
    24,527.80/36,773.70 = 9,729.40/x
  3. Step 3: Cross multiply
    24,527.80x = 36,773.70 × 9,729.40
  4. Step 4: Simplify right side
    24,527.80x = 357,786,036.78
  5. Step 5: Solve for x
    x = 357,786,036.78/24,527.80
  6. Step 6: Final answer
    x = 14,586.96

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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.