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Finding the Fourth Proportional to 20,657.22, 30,969.42 and 7,507.88

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Solution

The fourth proportional to 20,657.22, 30,969.42 and 7,507.88 is: 11,255.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,657.22 : 30,969.42 = 7,507.88 : x
  2. Step 2: Convert to fraction form
    20,657.22/30,969.42 = 7,507.88/x
  3. Step 3: Cross multiply
    20,657.22x = 30,969.42 × 7,507.88
  4. Step 4: Simplify right side
    20,657.22x = 232,514,689.03
  5. Step 5: Solve for x
    x = 232,514,689.03/20,657.22
  6. Step 6: Final answer
    x = 11,255.86

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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.