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Finding the Fourth Proportional to 23,741.60, 35,613.24 and 8,159.12

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Solution

The fourth proportional to 23,741.60, 35,613.24 and 8,159.12 is: 12,238.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,741.60 : 35,613.24 = 8,159.12 : x
  2. Step 2: Convert to fraction form
    23,741.60/35,613.24 = 8,159.12/x
  3. Step 3: Cross multiply
    23,741.60x = 35,613.24 × 8,159.12
  4. Step 4: Simplify right side
    23,741.60x = 290,572,698.75
  5. Step 5: Solve for x
    x = 290,572,698.75/23,741.60
  6. Step 6: Final answer
    x = 12,238.97

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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.