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Finding the Fourth Proportional to 24,542.18, 36,792.19 and 8,529.63

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Solution

The fourth proportional to 24,542.18, 36,792.19 and 8,529.63 is: 12,787.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,542.18 : 36,792.19 = 8,529.63 : x
  2. Step 2: Convert to fraction form
    24,542.18/36,792.19 = 8,529.63/x
  3. Step 3: Cross multiply
    24,542.18x = 36,792.19 × 8,529.63
  4. Step 4: Simplify right side
    24,542.18x = 313,823,902.74
  5. Step 5: Solve for x
    x = 313,823,902.74/24,542.18
  6. Step 6: Final answer
    x = 12,787.12

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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.