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Finding the Fourth Proportional to 24,015.72, 36,023.59 and 8,220.96

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Solution

The fourth proportional to 24,015.72, 36,023.59 and 8,220.96 is: 12,331.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,015.72 : 36,023.59 = 8,220.96 : x
  2. Step 2: Convert to fraction form
    24,015.72/36,023.59 = 8,220.96/x
  3. Step 3: Cross multiply
    24,015.72x = 36,023.59 × 8,220.96
  4. Step 4: Simplify right side
    24,015.72x = 296,148,456.48
  5. Step 5: Solve for x
    x = 296,148,456.48/24,015.72
  6. Step 6: Final answer
    x = 12,331.44

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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.