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Finding the Fourth Proportional to 24,586.86, 36,882.58 and 9,792.20

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Solution

The fourth proportional to 24,586.86, 36,882.58 and 9,792.20 is: 14,689.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,586.86 : 36,882.58 = 9,792.20 : x
  2. Step 2: Convert to fraction form
    24,586.86/36,882.58 = 9,792.20/x
  3. Step 3: Cross multiply
    24,586.86x = 36,882.58 × 9,792.20
  4. Step 4: Simplify right side
    24,586.86x = 361,161,599.88
  5. Step 5: Solve for x
    x = 361,161,599.88/24,586.86
  6. Step 6: Final answer
    x = 14,689.21

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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.