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Finding the Fourth Proportional to 10,118.56, 13,974.42 and 9,019.12

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Solution

The fourth proportional to 10,118.56, 13,974.42 and 9,019.12 is: 12,456.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,118.56 : 13,974.42 = 9,019.12 : x
  2. Step 2: Convert to fraction form
    10,118.56/13,974.42 = 9,019.12/x
  3. Step 3: Cross multiply
    10,118.56x = 13,974.42 × 9,019.12
  4. Step 4: Simplify right side
    10,118.56x = 126,036,970.91
  5. Step 5: Solve for x
    x = 126,036,970.91/10,118.56
  6. Step 6: Final answer
    x = 12,456.02

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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.