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Finding the Fourth Proportional to 24,409.57, 36,614.37 and 6,877.12

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Solution

The fourth proportional to 24,409.57, 36,614.37 and 6,877.12 is: 10,315.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,409.57 : 36,614.37 = 6,877.12 : x
  2. Step 2: Convert to fraction form
    24,409.57/36,614.37 = 6,877.12/x
  3. Step 3: Cross multiply
    24,409.57x = 36,614.37 × 6,877.12
  4. Step 4: Simplify right side
    24,409.57x = 251,801,416.21
  5. Step 5: Solve for x
    x = 251,801,416.21/24,409.57
  6. Step 6: Final answer
    x = 10,315.68

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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.