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Finding the Fourth Proportional to 23,242.70, 34,863.74 and 5,712.68

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Solution

The fourth proportional to 23,242.70, 34,863.74 and 5,712.68 is: 8,568.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,242.70 : 34,863.74 = 5,712.68 : x
  2. Step 2: Convert to fraction form
    23,242.70/34,863.74 = 5,712.68/x
  3. Step 3: Cross multiply
    23,242.70x = 34,863.74 × 5,712.68
  4. Step 4: Simplify right side
    23,242.70x = 199,165,187.34
  5. Step 5: Solve for x
    x = 199,165,187.34/23,242.70
  6. Step 6: Final answer
    x = 8,568.94

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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.