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Finding the Fourth Proportional to 12,677.11, 17,489.06 and 8,486.71

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Solution

The fourth proportional to 12,677.11, 17,489.06 and 8,486.71 is: 11,708.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,677.11 : 17,489.06 = 8,486.71 : x
  2. Step 2: Convert to fraction form
    12,677.11/17,489.06 = 8,486.71/x
  3. Step 3: Cross multiply
    12,677.11x = 17,489.06 × 8,486.71
  4. Step 4: Simplify right side
    12,677.11x = 148,424,537.96
  5. Step 5: Solve for x
    x = 148,424,537.96/12,677.11
  6. Step 6: Final answer
    x = 11,708.07

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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.