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Finding the Fourth Proportional to 12,686.27, 17,502.75 and 7,376.72

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Solution

The fourth proportional to 12,686.27, 17,502.75 and 7,376.72 is: 10,177.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.27 : 17,502.75 = 7,376.72 : x
  2. Step 2: Convert to fraction form
    12,686.27/17,502.75 = 7,376.72/x
  3. Step 3: Cross multiply
    12,686.27x = 17,502.75 × 7,376.72
  4. Step 4: Simplify right side
    12,686.27x = 129,112,885.98
  5. Step 5: Solve for x
    x = 129,112,885.98/12,686.27
  6. Step 6: Final answer
    x = 10,177.37

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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.