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Finding the Fourth Proportional to 12,869.88, 17,757 and 7,204.56

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Solution

The fourth proportional to 12,869.88, 17,757 and 7,204.56 is: 9,940.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,869.88 : 17,757 = 7,204.56 : x
  2. Step 2: Convert to fraction form
    12,869.88/17,757 = 7,204.56/x
  3. Step 3: Cross multiply
    12,869.88x = 17,757 × 7,204.56
  4. Step 4: Simplify right side
    12,869.88x = 127,931,371.92
  5. Step 5: Solve for x
    x = 127,931,371.92/12,869.88
  6. Step 6: Final answer
    x = 9,940.37

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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.