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Finding the Fourth Proportional to 26,292.46, 36,283.56 and 16,861

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Solution

The fourth proportional to 26,292.46, 36,283.56 and 16,861 is: 23,268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,292.46 : 36,283.56 = 16,861 : x
  2. Step 2: Convert to fraction form
    26,292.46/36,283.56 = 16,861/x
  3. Step 3: Cross multiply
    26,292.46x = 36,283.56 × 16,861
  4. Step 4: Simplify right side
    26,292.46x = 611,777,105.16
  5. Step 5: Solve for x
    x = 611,777,105.16/26,292.46
  6. Step 6: Final answer
    x = 23,268.16

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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.