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Finding the Fourth Proportional to 21,538.88, 32,308.56 and 6,747.20

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Solution

The fourth proportional to 21,538.88, 32,308.56 and 6,747.20 is: 10,120.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,538.88 : 32,308.56 = 6,747.20 : x
  2. Step 2: Convert to fraction form
    21,538.88/32,308.56 = 6,747.20/x
  3. Step 3: Cross multiply
    21,538.88x = 32,308.56 × 6,747.20
  4. Step 4: Simplify right side
    21,538.88x = 217,992,316.03
  5. Step 5: Solve for x
    x = 217,992,316.03/21,538.88
  6. Step 6: Final answer
    x = 10,120.88

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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.