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Finding the Fourth Proportional to 20,194.60, 30,291.90 and 10,353.10

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Solution

The fourth proportional to 20,194.60, 30,291.90 and 10,353.10 is: 15,529.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194.60 : 30,291.90 = 10,353.10 : x
  2. Step 2: Convert to fraction form
    20,194.60/30,291.90 = 10,353.10/x
  3. Step 3: Cross multiply
    20,194.60x = 30,291.90 × 10,353.10
  4. Step 4: Simplify right side
    20,194.60x = 313,615,069.89
  5. Step 5: Solve for x
    x = 313,615,069.89/20,194.60
  6. Step 6: Final answer
    x = 15,529.65

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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.