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Finding the Fourth Proportional to 13,016.90, 17,963.43 and 7,642.55

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Solution

The fourth proportional to 13,016.90, 17,963.43 and 7,642.55 is: 10,546.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,016.90 : 17,963.43 = 7,642.55 : x
  2. Step 2: Convert to fraction form
    13,016.90/17,963.43 = 7,642.55/x
  3. Step 3: Cross multiply
    13,016.90x = 17,963.43 × 7,642.55
  4. Step 4: Simplify right side
    13,016.90x = 137,286,411.95
  5. Step 5: Solve for x
    x = 137,286,411.95/13,016.90
  6. Step 6: Final answer
    x = 10,546.78

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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.