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Finding the Fourth Proportional to 20,209.60, 30,292.80 and 9,114.40

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Solution

The fourth proportional to 20,209.60, 30,292.80 and 9,114.40 is: 13,661.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,209.60 : 30,292.80 = 9,114.40 : x
  2. Step 2: Convert to fraction form
    20,209.60/30,292.80 = 9,114.40/x
  3. Step 3: Cross multiply
    20,209.60x = 30,292.80 × 9,114.40
  4. Step 4: Simplify right side
    20,209.60x = 276,100,696.32
  5. Step 5: Solve for x
    x = 276,100,696.32/20,209.60
  6. Step 6: Final answer
    x = 13,661.86

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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.