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Finding the Fourth Proportional to 24,409.90, 36,614.85 and 9,610.75

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Solution

The fourth proportional to 24,409.90, 36,614.85 and 9,610.75 is: 14,416.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,409.90 : 36,614.85 = 9,610.75 : x
  2. Step 2: Convert to fraction form
    24,409.90/36,614.85 = 9,610.75/x
  3. Step 3: Cross multiply
    24,409.90x = 36,614.85 × 9,610.75
  4. Step 4: Simplify right side
    24,409.90x = 351,896,169.64
  5. Step 5: Solve for x
    x = 351,896,169.64/24,409.90
  6. Step 6: Final answer
    x = 14,416.13

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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.