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Finding the Fourth Proportional to 12,781.26, 17,637.93 and 7,192.26

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Solution

The fourth proportional to 12,781.26, 17,637.93 and 7,192.26 is: 9,925.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.26 : 17,637.93 = 7,192.26 : x
  2. Step 2: Convert to fraction form
    12,781.26/17,637.93 = 7,192.26/x
  3. Step 3: Cross multiply
    12,781.26x = 17,637.93 × 7,192.26
  4. Step 4: Simplify right side
    12,781.26x = 126,856,578.42
  5. Step 5: Solve for x
    x = 126,856,578.42/12,781.26
  6. Step 6: Final answer
    x = 9,925.20

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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.