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Finding the Fourth Proportional to 20,112.80, 30,133.20 and 9,701.60

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Solution

The fourth proportional to 20,112.80, 30,133.20 and 9,701.60 is: 14,535.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,112.80 : 30,133.20 = 9,701.60 : x
  2. Step 2: Convert to fraction form
    20,112.80/30,133.20 = 9,701.60/x
  3. Step 3: Cross multiply
    20,112.80x = 30,133.20 × 9,701.60
  4. Step 4: Simplify right side
    20,112.80x = 292,340,253.12
  5. Step 5: Solve for x
    x = 292,340,253.12/20,112.80
  6. Step 6: Final answer
    x = 14,535.04

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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.