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Finding the Fourth Proportional to 11,734.29, 17,605.04 and 8,444.61

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Solution

The fourth proportional to 11,734.29, 17,605.04 and 8,444.61 is: 12,669.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,734.29 : 17,605.04 = 8,444.61 : x
  2. Step 2: Convert to fraction form
    11,734.29/17,605.04 = 8,444.61/x
  3. Step 3: Cross multiply
    11,734.29x = 17,605.04 × 8,444.61
  4. Step 4: Simplify right side
    11,734.29x = 148,667,654.61
  5. Step 5: Solve for x
    x = 148,667,654.61/11,734.29
  6. Step 6: Final answer
    x = 12,669.51

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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.