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Finding the Fourth Proportional to 12,703.27, 17,531.16 and 7,667.42

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Solution

The fourth proportional to 12,703.27, 17,531.16 and 7,667.42 is: 10,581.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.27 : 17,531.16 = 7,667.42 : x
  2. Step 2: Convert to fraction form
    12,703.27/17,531.16 = 7,667.42/x
  3. Step 3: Cross multiply
    12,703.27x = 17,531.16 × 7,667.42
  4. Step 4: Simplify right side
    12,703.27x = 134,418,773.65
  5. Step 5: Solve for x
    x = 134,418,773.65/12,703.27
  6. Step 6: Final answer
    x = 10,581.43

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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.