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Finding the Fourth Proportional to 14,127.20, 21,142.20 and 9,753.20

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Solution

The fourth proportional to 14,127.20, 21,142.20 and 9,753.20 is: 14,596.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,127.20 : 21,142.20 = 9,753.20 : x
  2. Step 2: Convert to fraction form
    14,127.20/21,142.20 = 9,753.20/x
  3. Step 3: Cross multiply
    14,127.20x = 21,142.20 × 9,753.20
  4. Step 4: Simplify right side
    14,127.20x = 206,204,105.04
  5. Step 5: Solve for x
    x = 206,204,105.04/14,127.20
  6. Step 6: Final answer
    x = 14,596.25

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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.