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Finding the Fourth Proportional to 23,348.91, 32,222.39 and 13,278.27

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Solution

The fourth proportional to 23,348.91, 32,222.39 and 13,278.27 is: 18,324.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,348.91 : 32,222.39 = 13,278.27 : x
  2. Step 2: Convert to fraction form
    23,348.91/32,222.39 = 13,278.27/x
  3. Step 3: Cross multiply
    23,348.91x = 32,222.39 × 13,278.27
  4. Step 4: Simplify right side
    23,348.91x = 427,857,466.55
  5. Step 5: Solve for x
    x = 427,857,466.55/23,348.91
  6. Step 6: Final answer
    x = 18,324.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.