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Finding the Fourth Proportional to 21,122.72, 31,691.10 and 7,084.12

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Solution

The fourth proportional to 21,122.72, 31,691.10 and 7,084.12 is: 10,628.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,122.72 : 31,691.10 = 7,084.12 : x
  2. Step 2: Convert to fraction form
    21,122.72/31,691.10 = 7,084.12/x
  3. Step 3: Cross multiply
    21,122.72x = 31,691.10 × 7,084.12
  4. Step 4: Simplify right side
    21,122.72x = 224,503,555.33
  5. Step 5: Solve for x
    x = 224,503,555.33/21,122.72
  6. Step 6: Final answer
    x = 10,628.53

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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.