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Finding the Fourth Proportional to 26,182.64, 36,120.30 and 17,682

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Solution

The fourth proportional to 26,182.64, 36,120.30 and 17,682 is: 24,393.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,182.64 : 36,120.30 = 17,682 : x
  2. Step 2: Convert to fraction form
    26,182.64/36,120.30 = 17,682/x
  3. Step 3: Cross multiply
    26,182.64x = 36,120.30 × 17,682
  4. Step 4: Simplify right side
    26,182.64x = 638,679,144.60
  5. Step 5: Solve for x
    x = 638,679,144.60/26,182.64
  6. Step 6: Final answer
    x = 24,393.23

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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.