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Finding the Fourth Proportional to 24,377.64, 36,566.79 and 8,583.18

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Solution

The fourth proportional to 24,377.64, 36,566.79 and 8,583.18 is: 12,874.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,377.64 : 36,566.79 = 8,583.18 : x
  2. Step 2: Convert to fraction form
    24,377.64/36,566.79 = 8,583.18/x
  3. Step 3: Cross multiply
    24,377.64x = 36,566.79 × 8,583.18
  4. Step 4: Simplify right side
    24,377.64x = 313,859,340.59
  5. Step 5: Solve for x
    x = 313,859,340.59/24,377.64
  6. Step 6: Final answer
    x = 12,874.89

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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.