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Finding the Fourth Proportional to 20,225.75, 30,342.02 and 9,132.20

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Solution

The fourth proportional to 20,225.75, 30,342.02 and 9,132.20 is: 13,699.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,225.75 : 30,342.02 = 9,132.20 : x
  2. Step 2: Convert to fraction form
    20,225.75/30,342.02 = 9,132.20/x
  3. Step 3: Cross multiply
    20,225.75x = 30,342.02 × 9,132.20
  4. Step 4: Simplify right side
    20,225.75x = 277,089,395.04
  5. Step 5: Solve for x
    x = 277,089,395.04/20,225.75
  6. Step 6: Final answer
    x = 13,699.83

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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.