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Finding the Fourth Proportional to 18,200.20, 27,278.70 and 9,430.60

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Solution

The fourth proportional to 18,200.20, 27,278.70 and 9,430.60 is: 14,134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,200.20 : 27,278.70 = 9,430.60 : x
  2. Step 2: Convert to fraction form
    18,200.20/27,278.70 = 9,430.60/x
  3. Step 3: Cross multiply
    18,200.20x = 27,278.70 × 9,430.60
  4. Step 4: Simplify right side
    18,200.20x = 257,254,508.22
  5. Step 5: Solve for x
    x = 257,254,508.22/18,200.20
  6. Step 6: Final answer
    x = 14,134.71

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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.