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Finding the Fourth Proportional to 26,448.89, 39,667.19 and 7,724.97

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Solution

The fourth proportional to 26,448.89, 39,667.19 and 7,724.97 is: 11,585.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,448.89 : 39,667.19 = 7,724.97 : x
  2. Step 2: Convert to fraction form
    26,448.89/39,667.19 = 7,724.97/x
  3. Step 3: Cross multiply
    26,448.89x = 39,667.19 × 7,724.97
  4. Step 4: Simplify right side
    26,448.89x = 306,427,814.11
  5. Step 5: Solve for x
    x = 306,427,814.11/26,448.89
  6. Step 6: Final answer
    x = 11,585.66

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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.