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Finding the Fourth Proportional to 16,235.20, 24,345.60 and 7,472.80

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Solution

The fourth proportional to 16,235.20, 24,345.60 and 7,472.80 is: 11,205.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,235.20 : 24,345.60 = 7,472.80 : x
  2. Step 2: Convert to fraction form
    16,235.20/24,345.60 = 7,472.80/x
  3. Step 3: Cross multiply
    16,235.20x = 24,345.60 × 7,472.80
  4. Step 4: Simplify right side
    16,235.20x = 181,929,799.68
  5. Step 5: Solve for x
    x = 181,929,799.68/16,235.20
  6. Step 6: Final answer
    x = 11,205.89

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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.