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Finding the Fourth Proportional to 24,419.57, 36,630.77 and 9,426.77

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Solution

The fourth proportional to 24,419.57, 36,630.77 and 9,426.77 is: 14,140.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,419.57 : 36,630.77 = 9,426.77 : x
  2. Step 2: Convert to fraction form
    24,419.57/36,630.77 = 9,426.77/x
  3. Step 3: Cross multiply
    24,419.57x = 36,630.77 × 9,426.77
  4. Step 4: Simplify right side
    24,419.57x = 345,309,613.43
  5. Step 5: Solve for x
    x = 345,309,613.43/24,419.57
  6. Step 6: Final answer
    x = 14,140.69

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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.