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Finding the Fourth Proportional to 16,074.09, 24,101.42 and 10,864.17

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Solution

The fourth proportional to 16,074.09, 24,101.42 and 10,864.17 is: 16,289.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,074.09 : 24,101.42 = 10,864.17 : x
  2. Step 2: Convert to fraction form
    16,074.09/24,101.42 = 10,864.17/x
  3. Step 3: Cross multiply
    16,074.09x = 24,101.42 × 10,864.17
  4. Step 4: Simplify right side
    16,074.09x = 261,841,869.80
  5. Step 5: Solve for x
    x = 261,841,869.80/16,074.09
  6. Step 6: Final answer
    x = 16,289.69

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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.