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Finding the Fourth Proportional to 12,963.76, 17,887.57 and 7,659.41

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Solution

The fourth proportional to 12,963.76, 17,887.57 and 7,659.41 is: 10,568.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963.76 : 17,887.57 = 7,659.41 : x
  2. Step 2: Convert to fraction form
    12,963.76/17,887.57 = 7,659.41/x
  3. Step 3: Cross multiply
    12,963.76x = 17,887.57 × 7,659.41
  4. Step 4: Simplify right side
    12,963.76x = 137,008,123.95
  5. Step 5: Solve for x
    x = 137,008,123.95/12,963.76
  6. Step 6: Final answer
    x = 10,568.55

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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.