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Finding the Fourth Proportional to 12,857.17, 17,744.54 and 7,192.23

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Solution

The fourth proportional to 12,857.17, 17,744.54 and 7,192.23 is: 9,926.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.17 : 17,744.54 = 7,192.23 : x
  2. Step 2: Convert to fraction form
    12,857.17/17,744.54 = 7,192.23/x
  3. Step 3: Cross multiply
    12,857.17x = 17,744.54 × 7,192.23
  4. Step 4: Simplify right side
    12,857.17x = 127,622,810.23
  5. Step 5: Solve for x
    x = 127,622,810.23/12,857.17
  6. Step 6: Final answer
    x = 9,926.20

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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.