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Finding the Fourth Proportional to 16,231.68, 24,345.28 and 6,996.48

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Solution

The fourth proportional to 16,231.68, 24,345.28 and 6,996.48 is: 10,493.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,231.68 : 24,345.28 = 6,996.48 : x
  2. Step 2: Convert to fraction form
    16,231.68/24,345.28 = 6,996.48/x
  3. Step 3: Cross multiply
    16,231.68x = 24,345.28 × 6,996.48
  4. Step 4: Simplify right side
    16,231.68x = 170,331,264.61
  5. Step 5: Solve for x
    x = 170,331,264.61/16,231.68
  6. Step 6: Final answer
    x = 10,493.75

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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.