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Finding the Fourth Proportional to 14,016.97, 19,343.34 and 7,729.35

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Solution

The fourth proportional to 14,016.97, 19,343.34 and 7,729.35 is: 10,666.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,016.97 : 19,343.34 = 7,729.35 : x
  2. Step 2: Convert to fraction form
    14,016.97/19,343.34 = 7,729.35/x
  3. Step 3: Cross multiply
    14,016.97x = 19,343.34 × 7,729.35
  4. Step 4: Simplify right side
    14,016.97x = 149,511,445.03
  5. Step 5: Solve for x
    x = 149,511,445.03/14,016.97
  6. Step 6: Final answer
    x = 10,666.46

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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.