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Finding the Fourth Proportional to 12,703.32, 17,531.18 and 7,667.45

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Solution

The fourth proportional to 12,703.32, 17,531.18 and 7,667.45 is: 10,581.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.32 : 17,531.18 = 7,667.45 : x
  2. Step 2: Convert to fraction form
    12,703.32/17,531.18 = 7,667.45/x
  3. Step 3: Cross multiply
    12,703.32x = 17,531.18 × 7,667.45
  4. Step 4: Simplify right side
    12,703.32x = 134,419,320.10
  5. Step 5: Solve for x
    x = 134,419,320.10/12,703.32
  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.