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Finding the Fourth Proportional to 22,466.77, 33,708.22 and 9,638.60

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Solution

The fourth proportional to 22,466.77, 33,708.22 and 9,638.60 is: 14,461.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,466.77 : 33,708.22 = 9,638.60 : x
  2. Step 2: Convert to fraction form
    22,466.77/33,708.22 = 9,638.60/x
  3. Step 3: Cross multiply
    22,466.77x = 33,708.22 × 9,638.60
  4. Step 4: Simplify right side
    22,466.77x = 324,899,856.65
  5. Step 5: Solve for x
    x = 324,899,856.65/22,466.77
  6. Step 6: Final answer
    x = 14,461.35

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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.