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Finding the Fourth Proportional to 13,016.56, 19,514.04 and 7,474

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Solution

The fourth proportional to 13,016.56, 19,514.04 and 7,474 is: 11,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,016.56 : 19,514.04 = 7,474 : x
  2. Step 2: Convert to fraction form
    13,016.56/19,514.04 = 7,474/x
  3. Step 3: Cross multiply
    13,016.56x = 19,514.04 × 7,474
  4. Step 4: Simplify right side
    13,016.56x = 145,847,934.96
  5. Step 5: Solve for x
    x = 145,847,934.96/13,016.56
  6. Step 6: Final answer
    x = 11,204.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.