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Finding the Fourth Proportional to 16,021.60, 24,035.13 and 7,140.15

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Solution

The fourth proportional to 16,021.60, 24,035.13 and 7,140.15 is: 10,711.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,021.60 : 24,035.13 = 7,140.15 : x
  2. Step 2: Convert to fraction form
    16,021.60/24,035.13 = 7,140.15/x
  3. Step 3: Cross multiply
    16,021.60x = 24,035.13 × 7,140.15
  4. Step 4: Simplify right side
    16,021.60x = 171,614,433.47
  5. Step 5: Solve for x
    x = 171,614,433.47/16,021.60
  6. Step 6: Final answer
    x = 10,711.44

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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.