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Finding the Fourth Proportional to 24,423.20, 36,641.68 and 6,893.18

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Solution

The fourth proportional to 24,423.20, 36,641.68 and 6,893.18 is: 10,341.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,423.20 : 36,641.68 = 6,893.18 : x
  2. Step 2: Convert to fraction form
    24,423.20/36,641.68 = 6,893.18/x
  3. Step 3: Cross multiply
    24,423.20x = 36,641.68 × 6,893.18
  4. Step 4: Simplify right side
    24,423.20x = 252,577,695.74
  5. Step 5: Solve for x
    x = 252,577,695.74/24,423.20
  6. Step 6: Final answer
    x = 10,341.71

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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.