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Finding the Fourth Proportional to 13,722.76, 18,938.20 and 7,754.26

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Solution

The fourth proportional to 13,722.76, 18,938.20 and 7,754.26 is: 10,701.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.76 : 18,938.20 = 7,754.26 : x
  2. Step 2: Convert to fraction form
    13,722.76/18,938.20 = 7,754.26/x
  3. Step 3: Cross multiply
    13,722.76x = 18,938.20 × 7,754.26
  4. Step 4: Simplify right side
    13,722.76x = 146,851,726.73
  5. Step 5: Solve for x
    x = 146,851,726.73/13,722.76
  6. Step 6: Final answer
    x = 10,701.33

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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.