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Finding the Fourth Proportional to 26,578.80, 36,672.12 and 17,136

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Solution

The fourth proportional to 26,578.80, 36,672.12 and 17,136 is: 23,643.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,578.80 : 36,672.12 = 17,136 : x
  2. Step 2: Convert to fraction form
    26,578.80/36,672.12 = 17,136/x
  3. Step 3: Cross multiply
    26,578.80x = 36,672.12 × 17,136
  4. Step 4: Simplify right side
    26,578.80x = 628,413,448.32
  5. Step 5: Solve for x
    x = 628,413,448.32/26,578.80
  6. Step 6: Final answer
    x = 23,643.41

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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.