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Finding the Fourth Proportional to 23,822.52, 32,876.14 and 13,211.44

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Solution

The fourth proportional to 23,822.52, 32,876.14 and 13,211.44 is: 18,232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,822.52 : 32,876.14 = 13,211.44 : x
  2. Step 2: Convert to fraction form
    23,822.52/32,876.14 = 13,211.44/x
  3. Step 3: Cross multiply
    23,822.52x = 32,876.14 × 13,211.44
  4. Step 4: Simplify right side
    23,822.52x = 434,341,151.04
  5. Step 5: Solve for x
    x = 434,341,151.04/23,822.52
  6. Step 6: Final answer
    x = 18,232.38

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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.