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Finding the Fourth Proportional to 23,854.42, 35,781.60 and 9,059.80

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Solution

The fourth proportional to 23,854.42, 35,781.60 and 9,059.80 is: 13,589.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,854.42 : 35,781.60 = 9,059.80 : x
  2. Step 2: Convert to fraction form
    23,854.42/35,781.60 = 9,059.80/x
  3. Step 3: Cross multiply
    23,854.42x = 35,781.60 × 9,059.80
  4. Step 4: Simplify right side
    23,854.42x = 324,174,139.68
  5. Step 5: Solve for x
    x = 324,174,139.68/23,854.42
  6. Step 6: Final answer
    x = 13,589.69

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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.