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Finding the Fourth Proportional to 16,029.80, 24,044.70 and 9,117.80

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Solution

The fourth proportional to 16,029.80, 24,044.70 and 9,117.80 is: 13,676.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,029.80 : 24,044.70 = 9,117.80 : x
  2. Step 2: Convert to fraction form
    16,029.80/24,044.70 = 9,117.80/x
  3. Step 3: Cross multiply
    16,029.80x = 24,044.70 × 9,117.80
  4. Step 4: Simplify right side
    16,029.80x = 219,234,765.66
  5. Step 5: Solve for x
    x = 219,234,765.66/16,029.80
  6. Step 6: Final answer
    x = 13,676.70

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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.