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Finding the Fourth Proportional to 14,122.46, 19,488.22 and 8,153.78

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Solution

The fourth proportional to 14,122.46, 19,488.22 and 8,153.78 is: 11,251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,122.46 : 19,488.22 = 8,153.78 : x
  2. Step 2: Convert to fraction form
    14,122.46/19,488.22 = 8,153.78/x
  3. Step 3: Cross multiply
    14,122.46x = 19,488.22 × 8,153.78
  4. Step 4: Simplify right side
    14,122.46x = 158,902,540.65
  5. Step 5: Solve for x
    x = 158,902,540.65/14,122.46
  6. Step 6: Final answer
    x = 11,251.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.