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Finding the Fourth Proportional to 26,524.80, 36,597.60 and 17,082

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Solution

The fourth proportional to 26,524.80, 36,597.60 and 17,082 is: 23,568.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,524.80 : 36,597.60 = 17,082 : x
  2. Step 2: Convert to fraction form
    26,524.80/36,597.60 = 17,082/x
  3. Step 3: Cross multiply
    26,524.80x = 36,597.60 × 17,082
  4. Step 4: Simplify right side
    26,524.80x = 625,160,203.20
  5. Step 5: Solve for x
    x = 625,160,203.20/26,524.80
  6. Step 6: Final answer
    x = 23,568.89

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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.