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Finding the Fourth Proportional to 23,877.92, 32,952.36 and 13,268

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Solution

The fourth proportional to 23,877.92, 32,952.36 and 13,268 is: 18,310.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,877.92 : 32,952.36 = 13,268 : x
  2. Step 2: Convert to fraction form
    23,877.92/32,952.36 = 13,268/x
  3. Step 3: Cross multiply
    23,877.92x = 32,952.36 × 13,268
  4. Step 4: Simplify right side
    23,877.92x = 437,211,912.48
  5. Step 5: Solve for x
    x = 437,211,912.48/23,877.92
  6. Step 6: Final answer
    x = 18,310.30

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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.