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Finding the Fourth Proportional to 26,295.48, 36,287.68 and 16,864

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Solution

The fourth proportional to 26,295.48, 36,287.68 and 16,864 is: 23,272.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,295.48 : 36,287.68 = 16,864 : x
  2. Step 2: Convert to fraction form
    26,295.48/36,287.68 = 16,864/x
  3. Step 3: Cross multiply
    26,295.48x = 36,287.68 × 16,864
  4. Step 4: Simplify right side
    26,295.48x = 611,955,435.52
  5. Step 5: Solve for x
    x = 611,955,435.52/26,295.48
  6. Step 6: Final answer
    x = 23,272.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.