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Finding the Fourth Proportional to 10,227.20, 14,103.04 and 7,242.24

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Solution

The fourth proportional to 10,227.20, 14,103.04 and 7,242.24 is: 9,986.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227.20 : 14,103.04 = 7,242.24 : x
  2. Step 2: Convert to fraction form
    10,227.20/14,103.04 = 7,242.24/x
  3. Step 3: Cross multiply
    10,227.20x = 14,103.04 × 7,242.24
  4. Step 4: Simplify right side
    10,227.20x = 102,137,600.41
  5. Step 5: Solve for x
    x = 102,137,600.41/10,227.20
  6. Step 6: Final answer
    x = 9,986.86

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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.