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Finding the Fourth Proportional to 24,220.50, 36,309.96 and 8,415.60

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Solution

The fourth proportional to 24,220.50, 36,309.96 and 8,415.60 is: 12,616.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,220.50 : 36,309.96 = 8,415.60 : x
  2. Step 2: Convert to fraction form
    24,220.50/36,309.96 = 8,415.60/x
  3. Step 3: Cross multiply
    24,220.50x = 36,309.96 × 8,415.60
  4. Step 4: Simplify right side
    24,220.50x = 305,570,099.38
  5. Step 5: Solve for x
    x = 305,570,099.38/24,220.50
  6. Step 6: Final answer
    x = 12,616.18

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Why These Related Problems?

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