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Finding the Fourth Proportional to 16,219.38, 24,289.87 and 7,878.81

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Solution

The fourth proportional to 16,219.38, 24,289.87 and 7,878.81 is: 11,799.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219.38 : 24,289.87 = 7,878.81 : x
  2. Step 2: Convert to fraction form
    16,219.38/24,289.87 = 7,878.81/x
  3. Step 3: Cross multiply
    16,219.38x = 24,289.87 × 7,878.81
  4. Step 4: Simplify right side
    16,219.38x = 191,375,270.65
  5. Step 5: Solve for x
    x = 191,375,270.65/16,219.38
  6. Step 6: Final answer
    x = 11,799.17

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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.