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Finding the Fourth Proportional to 16,070.40, 24,073.20 and 9,136.80

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Solution

The fourth proportional to 16,070.40, 24,073.20 and 9,136.80 is: 13,686.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,070.40 : 24,073.20 = 9,136.80 : x
  2. Step 2: Convert to fraction form
    16,070.40/24,073.20 = 9,136.80/x
  3. Step 3: Cross multiply
    16,070.40x = 24,073.20 × 9,136.80
  4. Step 4: Simplify right side
    16,070.40x = 219,952,013.76
  5. Step 5: Solve for x
    x = 219,952,013.76/16,070.40
  6. Step 6: Final answer
    x = 13,686.78

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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.