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Finding the Fourth Proportional to 20,109.52, 30,164.92 and 7,630.40

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Solution

The fourth proportional to 20,109.52, 30,164.92 and 7,630.40 is: 11,445.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,109.52 : 30,164.92 = 7,630.40 : x
  2. Step 2: Convert to fraction form
    20,109.52/30,164.92 = 7,630.40/x
  3. Step 3: Cross multiply
    20,109.52x = 30,164.92 × 7,630.40
  4. Step 4: Simplify right side
    20,109.52x = 230,170,405.57
  5. Step 5: Solve for x
    x = 230,170,405.57/20,109.52
  6. Step 6: Final answer
    x = 11,445.84

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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.