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Finding the Fourth Proportional to 11,501.90, 17,216.40 and 8,221.40

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Solution

The fourth proportional to 11,501.90, 17,216.40 and 8,221.40 is: 12,306.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,501.90 : 17,216.40 = 8,221.40 : x
  2. Step 2: Convert to fraction form
    11,501.90/17,216.40 = 8,221.40/x
  3. Step 3: Cross multiply
    11,501.90x = 17,216.40 × 8,221.40
  4. Step 4: Simplify right side
    11,501.90x = 141,542,910.96
  5. Step 5: Solve for x
    x = 141,542,910.96/11,501.90
  6. Step 6: Final answer
    x = 12,306.05

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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.