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Finding the Fourth Proportional to 16,349.28, 24,524.28 and 6,493.20

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Solution

The fourth proportional to 16,349.28, 24,524.28 and 6,493.20 is: 9,739.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,349.28 : 24,524.28 = 6,493.20 : x
  2. Step 2: Convert to fraction form
    16,349.28/24,524.28 = 6,493.20/x
  3. Step 3: Cross multiply
    16,349.28x = 24,524.28 × 6,493.20
  4. Step 4: Simplify right side
    16,349.28x = 159,241,054.90
  5. Step 5: Solve for x
    x = 159,241,054.90/16,349.28
  6. Step 6: Final answer
    x = 9,739.94

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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.