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Finding the Fourth Proportional to 26,294.46, 36,286.32 and 16,863

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Solution

The fourth proportional to 26,294.46, 36,286.32 and 16,863 is: 23,270.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,294.46 : 36,286.32 = 16,863 : x
  2. Step 2: Convert to fraction form
    26,294.46/36,286.32 = 16,863/x
  3. Step 3: Cross multiply
    26,294.46x = 36,286.32 × 16,863
  4. Step 4: Simplify right side
    26,294.46x = 611,896,214.16
  5. Step 5: Solve for x
    x = 611,896,214.16/26,294.46
  6. Step 6: Final answer
    x = 23,270.92

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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.