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Finding the Fourth Proportional to 11,549.96, 17,331.56 and 11,456.00

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Solution

The fourth proportional to 11,549.96, 17,331.56 and 11,456.00 is: 17,190.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.96 : 17,331.56 = 11,456.00 : x
  2. Step 2: Convert to fraction form
    11,549.96/17,331.56 = 11,456.00/x
  3. Step 3: Cross multiply
    11,549.96x = 17,331.56 × 11,456.00
  4. Step 4: Simplify right side
    11,549.96x = 198,550,207.42
  5. Step 5: Solve for x
    x = 198,550,207.42/11,549.96
  6. Step 6: Final answer
    x = 17,190.56

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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.