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Finding the Fourth Proportional to 23,613.48, 35,422.92 and 7,820.60

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Solution

The fourth proportional to 23,613.48, 35,422.92 and 7,820.60 is: 11,731.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,613.48 : 35,422.92 = 7,820.60 : x
  2. Step 2: Convert to fraction form
    23,613.48/35,422.92 = 7,820.60/x
  3. Step 3: Cross multiply
    23,613.48x = 35,422.92 × 7,820.60
  4. Step 4: Simplify right side
    23,613.48x = 277,028,311.04
  5. Step 5: Solve for x
    x = 277,028,311.04/23,613.48
  6. Step 6: Final answer
    x = 11,731.79

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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.