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Finding the Fourth Proportional to 23,142.96, 34,667.96 and 10,645.61

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Solution

The fourth proportional to 23,142.96, 34,667.96 and 10,645.61 is: 15,947.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142.96 : 34,667.96 = 10,645.61 : x
  2. Step 2: Convert to fraction form
    23,142.96/34,667.96 = 10,645.61/x
  3. Step 3: Cross multiply
    23,142.96x = 34,667.96 × 10,645.61
  4. Step 4: Simplify right side
    23,142.96x = 369,061,355.09
  5. Step 5: Solve for x
    x = 369,061,355.09/23,142.96
  6. Step 6: Final answer
    x = 15,947.02

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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.