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Finding the Fourth Proportional to 16,021.20, 24,031.80 and 9,109.20

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Solution

The fourth proportional to 16,021.20, 24,031.80 and 9,109.20 is: 13,663.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,021.20 : 24,031.80 = 9,109.20 : x
  2. Step 2: Convert to fraction form
    16,021.20/24,031.80 = 9,109.20/x
  3. Step 3: Cross multiply
    16,021.20x = 24,031.80 × 9,109.20
  4. Step 4: Simplify right side
    16,021.20x = 218,910,472.56
  5. Step 5: Solve for x
    x = 218,910,472.56/16,021.20
  6. Step 6: Final answer
    x = 13,663.80

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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.