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Finding the Fourth Proportional to 29,586.65, 40,824.17 and 16,839.09

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Solution

The fourth proportional to 29,586.65, 40,824.17 and 16,839.09 is: 23,234.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,586.65 : 40,824.17 = 16,839.09 : x
  2. Step 2: Convert to fraction form
    29,586.65/40,824.17 = 16,839.09/x
  3. Step 3: Cross multiply
    29,586.65x = 40,824.17 × 16,839.09
  4. Step 4: Simplify right side
    29,586.65x = 687,441,851.76
  5. Step 5: Solve for x
    x = 687,441,851.76/29,586.65
  6. Step 6: Final answer
    x = 23,234.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.