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Finding the Fourth Proportional to 12,402.19, 17,119.52 and 8,211.79

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Solution

The fourth proportional to 12,402.19, 17,119.52 and 8,211.79 is: 11,335.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402.19 : 17,119.52 = 8,211.79 : x
  2. Step 2: Convert to fraction form
    12,402.19/17,119.52 = 8,211.79/x
  3. Step 3: Cross multiply
    12,402.19x = 17,119.52 × 8,211.79
  4. Step 4: Simplify right side
    12,402.19x = 140,581,862.08
  5. Step 5: Solve for x
    x = 140,581,862.08/12,402.19
  6. Step 6: Final answer
    x = 11,335.24

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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.