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Finding the Fourth Proportional to 38,523.60, 57,785.40 and 12,230.40

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Solution

The fourth proportional to 38,523.60, 57,785.40 and 12,230.40 is: 18,345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,523.60 : 57,785.40 = 12,230.40 : x
  2. Step 2: Convert to fraction form
    38,523.60/57,785.40 = 12,230.40/x
  3. Step 3: Cross multiply
    38,523.60x = 57,785.40 × 12,230.40
  4. Step 4: Simplify right side
    38,523.60x = 706,738,556.16
  5. Step 5: Solve for x
    x = 706,738,556.16/38,523.60
  6. Step 6: Final answer
    x = 18,345.60

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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.