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Finding the Fourth Proportional to 24,381.90, 36,572.84 and 8,583.21

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Solution

The fourth proportional to 24,381.90, 36,572.84 and 8,583.21 is: 12,874.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,381.90 : 36,572.84 = 8,583.21 : x
  2. Step 2: Convert to fraction form
    24,381.90/36,572.84 = 8,583.21/x
  3. Step 3: Cross multiply
    24,381.90x = 36,572.84 × 8,583.21
  4. Step 4: Simplify right side
    24,381.90x = 313,912,366.02
  5. Step 5: Solve for x
    x = 313,912,366.02/24,381.90
  6. Step 6: Final answer
    x = 12,874.81

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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.