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Finding the Fourth Proportional to 24,409.70, 36,614.55 and 11,287.70

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Solution

The fourth proportional to 24,409.70, 36,614.55 and 11,287.70 is: 16,931.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,409.70 : 36,614.55 = 11,287.70 : x
  2. Step 2: Convert to fraction form
    24,409.70/36,614.55 = 11,287.70/x
  3. Step 3: Cross multiply
    24,409.70x = 36,614.55 × 11,287.70
  4. Step 4: Simplify right side
    24,409.70x = 413,294,056.04
  5. Step 5: Solve for x
    x = 413,294,056.04/24,409.70
  6. Step 6: Final answer
    x = 16,931.55

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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.