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Finding the Fourth Proportional to 10,167.18, 15,223.50 and 9,850.20

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Solution

The fourth proportional to 10,167.18, 15,223.50 and 9,850.20 is: 14,748.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,167.18 : 15,223.50 = 9,850.20 : x
  2. Step 2: Convert to fraction form
    10,167.18/15,223.50 = 9,850.20/x
  3. Step 3: Cross multiply
    10,167.18x = 15,223.50 × 9,850.20
  4. Step 4: Simplify right side
    10,167.18x = 149,954,519.70
  5. Step 5: Solve for x
    x = 149,954,519.70/10,167.18
  6. Step 6: Final answer
    x = 14,748.88

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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.