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Finding the Fourth Proportional to 23,701.92, 35,541.12 and 13,843.68

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Solution

The fourth proportional to 23,701.92, 35,541.12 and 13,843.68 is: 20,758.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,701.92 : 35,541.12 = 13,843.68 : x
  2. Step 2: Convert to fraction form
    23,701.92/35,541.12 = 13,843.68/x
  3. Step 3: Cross multiply
    23,701.92x = 35,541.12 × 13,843.68
  4. Step 4: Simplify right side
    23,701.92x = 492,019,892.12
  5. Step 5: Solve for x
    x = 492,019,892.12/23,701.92
  6. Step 6: Final answer
    x = 20,758.65

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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.