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Finding the Fourth Proportional to 26,642.26, 36,781.05 and 16,034.50

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Solution

The fourth proportional to 26,642.26, 36,781.05 and 16,034.50 is: 22,136.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,642.26 : 36,781.05 = 16,034.50 : x
  2. Step 2: Convert to fraction form
    26,642.26/36,781.05 = 16,034.50/x
  3. Step 3: Cross multiply
    26,642.26x = 36,781.05 × 16,034.50
  4. Step 4: Simplify right side
    26,642.26x = 589,765,746.23
  5. Step 5: Solve for x
    x = 589,765,746.23/26,642.26
  6. Step 6: Final answer
    x = 22,136.48

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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.