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Finding the Fourth Proportional to 20,405.48, 30,608.20 and 5,614.48

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Solution

The fourth proportional to 20,405.48, 30,608.20 and 5,614.48 is: 8,421.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,405.48 : 30,608.20 = 5,614.48 : x
  2. Step 2: Convert to fraction form
    20,405.48/30,608.20 = 5,614.48/x
  3. Step 3: Cross multiply
    20,405.48x = 30,608.20 × 5,614.48
  4. Step 4: Simplify right side
    20,405.48x = 171,849,126.74
  5. Step 5: Solve for x
    x = 171,849,126.74/20,405.48
  6. Step 6: Final answer
    x = 8,421.71

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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.