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Finding the Fourth Proportional to 15,231.09, 22,827.60 and 7,332.14

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Solution

The fourth proportional to 15,231.09, 22,827.60 and 7,332.14 is: 10,989.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,231.09 : 22,827.60 = 7,332.14 : x
  2. Step 2: Convert to fraction form
    15,231.09/22,827.60 = 7,332.14/x
  3. Step 3: Cross multiply
    15,231.09x = 22,827.60 × 7,332.14
  4. Step 4: Simplify right side
    15,231.09x = 167,375,072.42
  5. Step 5: Solve for x
    x = 167,375,072.42/15,231.09
  6. Step 6: Final answer
    x = 10,989.04

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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.