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Finding the Fourth Proportional to 16,349.31, 24,519.56 and 6,984.68

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Solution

The fourth proportional to 16,349.31, 24,519.56 and 6,984.68 is: 10,475.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,349.31 : 24,519.56 = 6,984.68 : x
  2. Step 2: Convert to fraction form
    16,349.31/24,519.56 = 6,984.68/x
  3. Step 3: Cross multiply
    16,349.31x = 24,519.56 × 6,984.68
  4. Step 4: Simplify right side
    16,349.31x = 171,261,122.82
  5. Step 5: Solve for x
    x = 171,261,122.82/16,349.31
  6. Step 6: Final answer
    x = 10,475.13

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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.