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Finding the Fourth Proportional to 26,754.12, 36,926.82 and 17,802

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Solution

The fourth proportional to 26,754.12, 36,926.82 and 17,802 is: 24,570.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,754.12 : 36,926.82 = 17,802 : x
  2. Step 2: Convert to fraction form
    26,754.12/36,926.82 = 17,802/x
  3. Step 3: Cross multiply
    26,754.12x = 36,926.82 × 17,802
  4. Step 4: Simplify right side
    26,754.12x = 657,371,249.64
  5. Step 5: Solve for x
    x = 657,371,249.64/26,754.12
  6. Step 6: Final answer
    x = 24,570.84

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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.