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Finding the Fourth Proportional to 12,489.13, 17,227.69 and 7,774.93

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Solution

The fourth proportional to 12,489.13, 17,227.69 and 7,774.93 is: 10,724.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,489.13 : 17,227.69 = 7,774.93 : x
  2. Step 2: Convert to fraction form
    12,489.13/17,227.69 = 7,774.93/x
  3. Step 3: Cross multiply
    12,489.13x = 17,227.69 × 7,774.93
  4. Step 4: Simplify right side
    12,489.13x = 133,944,083.81
  5. Step 5: Solve for x
    x = 133,944,083.81/12,489.13
  6. Step 6: Final answer
    x = 10,724.85

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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.