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Finding the Fourth Proportional to 16,189.59, 24,286.13 and 5,096.61

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Solution

The fourth proportional to 16,189.59, 24,286.13 and 5,096.61 is: 7,645.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,189.59 : 24,286.13 = 5,096.61 : x
  2. Step 2: Convert to fraction form
    16,189.59/24,286.13 = 5,096.61/x
  3. Step 3: Cross multiply
    16,189.59x = 24,286.13 × 5,096.61
  4. Step 4: Simplify right side
    16,189.59x = 123,776,907.54
  5. Step 5: Solve for x
    x = 123,776,907.54/16,189.59
  6. Step 6: Final answer
    x = 7,645.46

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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.