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Finding the Fourth Proportional to 16,019.62, 24,029.50 and 10,507.84

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Solution

The fourth proportional to 16,019.62, 24,029.50 and 10,507.84 is: 15,761.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,019.62 : 24,029.50 = 10,507.84 : x
  2. Step 2: Convert to fraction form
    16,019.62/24,029.50 = 10,507.84/x
  3. Step 3: Cross multiply
    16,019.62x = 24,029.50 × 10,507.84
  4. Step 4: Simplify right side
    16,019.62x = 252,498,141.28
  5. Step 5: Solve for x
    x = 252,498,141.28/16,019.62
  6. Step 6: Final answer
    x = 15,761.81

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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.