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Finding the Fourth Proportional to 14,016.34, 19,343.01 and 8,049.07

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Solution

The fourth proportional to 14,016.34, 19,343.01 and 8,049.07 is: 11,107.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,016.34 : 19,343.01 = 8,049.07 : x
  2. Step 2: Convert to fraction form
    14,016.34/19,343.01 = 8,049.07/x
  3. Step 3: Cross multiply
    14,016.34x = 19,343.01 × 8,049.07
  4. Step 4: Simplify right side
    14,016.34x = 155,693,241.50
  5. Step 5: Solve for x
    x = 155,693,241.50/14,016.34
  6. Step 6: Final answer
    x = 11,107.98

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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.