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Finding the Fourth Proportional to 16,449.30, 24,686.10 and 10,900.80

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Solution

The fourth proportional to 16,449.30, 24,686.10 and 10,900.80 is: 16,359.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449.30 : 24,686.10 = 10,900.80 : x
  2. Step 2: Convert to fraction form
    16,449.30/24,686.10 = 10,900.80/x
  3. Step 3: Cross multiply
    16,449.30x = 24,686.10 × 10,900.80
  4. Step 4: Simplify right side
    16,449.30x = 269,098,238.88
  5. Step 5: Solve for x
    x = 269,098,238.88/16,449.30
  6. Step 6: Final answer
    x = 16,359.25

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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.