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Finding the Fourth Proportional to 13,016.76, 17,963.13 and 7,048.43

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Solution

The fourth proportional to 13,016.76, 17,963.13 and 7,048.43 is: 9,726.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,016.76 : 17,963.13 = 7,048.43 : x
  2. Step 2: Convert to fraction form
    13,016.76/17,963.13 = 7,048.43/x
  3. Step 3: Cross multiply
    13,016.76x = 17,963.13 × 7,048.43
  4. Step 4: Simplify right side
    13,016.76x = 126,611,774.57
  5. Step 5: Solve for x
    x = 126,611,774.57/13,016.76
  6. Step 6: Final answer
    x = 9,726.83

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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.