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Finding the Fourth Proportional to 16,105.68, 24,165.84 and 15,449.76

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Solution

The fourth proportional to 16,105.68, 24,165.84 and 15,449.76 is: 23,181.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,105.68 : 24,165.84 = 15,449.76 : x
  2. Step 2: Convert to fraction form
    16,105.68/24,165.84 = 15,449.76/x
  3. Step 3: Cross multiply
    16,105.68x = 24,165.84 × 15,449.76
  4. Step 4: Simplify right side
    16,105.68x = 373,356,428.20
  5. Step 5: Solve for x
    x = 373,356,428.20/16,105.68
  6. Step 6: Final answer
    x = 23,181.66

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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.