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Finding the Fourth Proportional to 21,919, 32,882.82 and 7,128.28

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Solution

The fourth proportional to 21,919, 32,882.82 and 7,128.28 is: 10,693.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,919 : 32,882.82 = 7,128.28 : x
  2. Step 2: Convert to fraction form
    21,919/32,882.82 = 7,128.28/x
  3. Step 3: Cross multiply
    21,919x = 32,882.82 × 7,128.28
  4. Step 4: Simplify right side
    21,919x = 234,397,948.15
  5. Step 5: Solve for x
    x = 234,397,948.15/21,919
  6. Step 6: Final answer
    x = 10,693.82

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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.