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Finding the Fourth Proportional to 12,638.52, 17,441.90 and 7,331.40

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Solution

The fourth proportional to 12,638.52, 17,441.90 and 7,331.40 is: 10,117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.52 : 17,441.90 = 7,331.40 : x
  2. Step 2: Convert to fraction form
    12,638.52/17,441.90 = 7,331.40/x
  3. Step 3: Cross multiply
    12,638.52x = 17,441.90 × 7,331.40
  4. Step 4: Simplify right side
    12,638.52x = 127,873,545.66
  5. Step 5: Solve for x
    x = 127,873,545.66/12,638.52
  6. Step 6: Final answer
    x = 10,117.76

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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.