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Finding the Fourth Proportional to 12,301.80, 18,452.70 and 4,093.80

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Solution

The fourth proportional to 12,301.80, 18,452.70 and 4,093.80 is: 6,140.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301.80 : 18,452.70 = 4,093.80 : x
  2. Step 2: Convert to fraction form
    12,301.80/18,452.70 = 4,093.80/x
  3. Step 3: Cross multiply
    12,301.80x = 18,452.70 × 4,093.80
  4. Step 4: Simplify right side
    12,301.80x = 75,541,663.26
  5. Step 5: Solve for x
    x = 75,541,663.26/12,301.80
  6. Step 6: Final answer
    x = 6,140.70

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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.