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Finding the Fourth Proportional to 14,142.18, 21,215.92 and 6,747.14

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Solution

The fourth proportional to 14,142.18, 21,215.92 and 6,747.14 is: 10,121.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.18 : 21,215.92 = 6,747.14 : x
  2. Step 2: Convert to fraction form
    14,142.18/21,215.92 = 6,747.14/x
  3. Step 3: Cross multiply
    14,142.18x = 21,215.92 × 6,747.14
  4. Step 4: Simplify right side
    14,142.18x = 143,146,782.47
  5. Step 5: Solve for x
    x = 143,146,782.47/14,142.18
  6. Step 6: Final answer
    x = 10,121.97

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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.