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Finding the Fourth Proportional to 20,406.32, 30,609.87 and 5,615.18

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Solution

The fourth proportional to 20,406.32, 30,609.87 and 5,615.18 is: 8,422.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,406.32 : 30,609.87 = 5,615.18 : x
  2. Step 2: Convert to fraction form
    20,406.32/30,609.87 = 5,615.18/x
  3. Step 3: Cross multiply
    20,406.32x = 30,609.87 × 5,615.18
  4. Step 4: Simplify right side
    20,406.32x = 171,879,929.83
  5. Step 5: Solve for x
    x = 171,879,929.83/20,406.32
  6. Step 6: Final answer
    x = 8,422.88

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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.