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Finding the Fourth Proportional to 12,351.96, 17,045.71 and 6,686.71

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Solution

The fourth proportional to 12,351.96, 17,045.71 and 6,686.71 is: 9,227.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,351.96 : 17,045.71 = 6,686.71 : x
  2. Step 2: Convert to fraction form
    12,351.96/17,045.71 = 6,686.71/x
  3. Step 3: Cross multiply
    12,351.96x = 17,045.71 × 6,686.71
  4. Step 4: Simplify right side
    12,351.96x = 113,979,660.18
  5. Step 5: Solve for x
    x = 113,979,660.18/12,351.96
  6. Step 6: Final answer
    x = 9,227.66

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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.