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Finding the Fourth Proportional to 10,174.18, 15,264.03 and 9,198.25

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Solution

The fourth proportional to 10,174.18, 15,264.03 and 9,198.25 is: 13,799.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.18 : 15,264.03 = 9,198.25 : x
  2. Step 2: Convert to fraction form
    10,174.18/15,264.03 = 9,198.25/x
  3. Step 3: Cross multiply
    10,174.18x = 15,264.03 × 9,198.25
  4. Step 4: Simplify right side
    10,174.18x = 140,402,363.95
  5. Step 5: Solve for x
    x = 140,402,363.95/10,174.18
  6. Step 6: Final answer
    x = 13,799.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.