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Finding the Fourth Proportional to 20,358.86, 30,538.31 and 5,567.90

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Solution

The fourth proportional to 20,358.86, 30,538.31 and 5,567.90 is: 8,351.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,358.86 : 30,538.31 = 5,567.90 : x
  2. Step 2: Convert to fraction form
    20,358.86/30,538.31 = 5,567.90/x
  3. Step 3: Cross multiply
    20,358.86x = 30,538.31 × 5,567.90
  4. Step 4: Simplify right side
    20,358.86x = 170,034,256.25
  5. Step 5: Solve for x
    x = 170,034,256.25/20,358.86
  6. Step 6: Final answer
    x = 8,351.86

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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.