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Finding the Fourth Proportional to 10,324.11, 15,523.53 and 9,512.19

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Solution

The fourth proportional to 10,324.11, 15,523.53 and 9,512.19 is: 14,302.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324.11 : 15,523.53 = 9,512.19 : x
  2. Step 2: Convert to fraction form
    10,324.11/15,523.53 = 9,512.19/x
  3. Step 3: Cross multiply
    10,324.11x = 15,523.53 × 9,512.19
  4. Step 4: Simplify right side
    10,324.11x = 147,662,766.83
  5. Step 5: Solve for x
    x = 147,662,766.83/10,324.11
  6. Step 6: Final answer
    x = 14,302.71

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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.