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Finding the Fourth Proportional to 16,339.80, 24,539.40 and 9,778.80

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Solution

The fourth proportional to 16,339.80, 24,539.40 and 9,778.80 is: 14,685.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,339.80 : 24,539.40 = 9,778.80 : x
  2. Step 2: Convert to fraction form
    16,339.80/24,539.40 = 9,778.80/x
  3. Step 3: Cross multiply
    16,339.80x = 24,539.40 × 9,778.80
  4. Step 4: Simplify right side
    16,339.80x = 239,965,884.72
  5. Step 5: Solve for x
    x = 239,965,884.72/16,339.80
  6. Step 6: Final answer
    x = 14,685.97

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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.