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Finding the Fourth Proportional to 21,882.40, 32,829.36 and 6,301.28

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Solution

The fourth proportional to 21,882.40, 32,829.36 and 6,301.28 is: 9,453.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,882.40 : 32,829.36 = 6,301.28 : x
  2. Step 2: Convert to fraction form
    21,882.40/32,829.36 = 6,301.28/x
  3. Step 3: Cross multiply
    21,882.40x = 32,829.36 × 6,301.28
  4. Step 4: Simplify right side
    21,882.40x = 206,866,989.58
  5. Step 5: Solve for x
    x = 206,866,989.58/21,882.40
  6. Step 6: Final answer
    x = 9,453.58

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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.