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Finding the Fourth Proportional to 24,426.33, 36,614.73 and 9,645.66

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Solution

The fourth proportional to 24,426.33, 36,614.73 and 9,645.66 is: 14,458.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,426.33 : 36,614.73 = 9,645.66 : x
  2. Step 2: Convert to fraction form
    24,426.33/36,614.73 = 9,645.66/x
  3. Step 3: Cross multiply
    24,426.33x = 36,614.73 × 9,645.66
  4. Step 4: Simplify right side
    24,426.33x = 353,173,236.57
  5. Step 5: Solve for x
    x = 353,173,236.57/24,426.33
  6. Step 6: Final answer
    x = 14,458.71

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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.