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Finding the Fourth Proportional to 21,174.80, 29,227.68 and 12,228.14

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Solution

The fourth proportional to 21,174.80, 29,227.68 and 12,228.14 is: 16,878.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,174.80 : 29,227.68 = 12,228.14 : x
  2. Step 2: Convert to fraction form
    21,174.80/29,227.68 = 12,228.14/x
  3. Step 3: Cross multiply
    21,174.80x = 29,227.68 × 12,228.14
  4. Step 4: Simplify right side
    21,174.80x = 357,400,162.92
  5. Step 5: Solve for x
    x = 357,400,162.92/21,174.80
  6. Step 6: Final answer
    x = 16,878.56

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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.