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Finding the Fourth Proportional to 12,220.86, 18,321.57 and 5,290.50

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Solution

The fourth proportional to 12,220.86, 18,321.57 and 5,290.50 is: 7,931.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,220.86 : 18,321.57 = 5,290.50 : x
  2. Step 2: Convert to fraction form
    12,220.86/18,321.57 = 5,290.50/x
  3. Step 3: Cross multiply
    12,220.86x = 18,321.57 × 5,290.50
  4. Step 4: Simplify right side
    12,220.86x = 96,930,266.09
  5. Step 5: Solve for x
    x = 96,930,266.09/12,220.86
  6. Step 6: Final answer
    x = 7,931.54

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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.