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Finding the Fourth Proportional to 12,744, 17,586.72 and 7,155.12

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Solution

The fourth proportional to 12,744, 17,586.72 and 7,155.12 is: 9,874.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744 : 17,586.72 = 7,155.12 : x
  2. Step 2: Convert to fraction form
    12,744/17,586.72 = 7,155.12/x
  3. Step 3: Cross multiply
    12,744x = 17,586.72 × 7,155.12
  4. Step 4: Simplify right side
    12,744x = 125,835,092.01
  5. Step 5: Solve for x
    x = 125,835,092.01/12,744
  6. Step 6: Final answer
    x = 9,874.07

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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.