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Finding the Fourth Proportional to 26,585.43, 39,884.97 and 7,864.71

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Solution

The fourth proportional to 26,585.43, 39,884.97 and 7,864.71 is: 11,799.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,585.43 : 39,884.97 = 7,864.71 : x
  2. Step 2: Convert to fraction form
    26,585.43/39,884.97 = 7,864.71/x
  3. Step 3: Cross multiply
    26,585.43x = 39,884.97 × 7,864.71
  4. Step 4: Simplify right side
    26,585.43x = 313,683,722.41
  5. Step 5: Solve for x
    x = 313,683,722.41/26,585.43
  6. Step 6: Final answer
    x = 11,799.08

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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.