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Finding the Fourth Proportional to 13,017.24, 17,963.94 and 7,711.03

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Solution

The fourth proportional to 13,017.24, 17,963.94 and 7,711.03 is: 10,641.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,017.24 : 17,963.94 = 7,711.03 : x
  2. Step 2: Convert to fraction form
    13,017.24/17,963.94 = 7,711.03/x
  3. Step 3: Cross multiply
    13,017.24x = 17,963.94 × 7,711.03
  4. Step 4: Simplify right side
    13,017.24x = 138,520,531.63
  5. Step 5: Solve for x
    x = 138,520,531.63/13,017.24
  6. Step 6: Final answer
    x = 10,641.31

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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.