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Finding the Fourth Proportional to 12,489.74, 17,231.96 and 7,111.78

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Solution

The fourth proportional to 12,489.74, 17,231.96 and 7,111.78 is: 9,812.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,489.74 : 17,231.96 = 7,111.78 : x
  2. Step 2: Convert to fraction form
    12,489.74/17,231.96 = 7,111.78/x
  3. Step 3: Cross multiply
    12,489.74x = 17,231.96 × 7,111.78
  4. Step 4: Simplify right side
    12,489.74x = 122,549,908.49
  5. Step 5: Solve for x
    x = 122,549,908.49/12,489.74
  6. Step 6: Final answer
    x = 9,812.05

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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.