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Finding the Fourth Proportional to 23,863.80, 32,932.08 and 13,253.16

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Solution

The fourth proportional to 23,863.80, 32,932.08 and 13,253.16 is: 18,289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,863.80 : 32,932.08 = 13,253.16 : x
  2. Step 2: Convert to fraction form
    23,863.80/32,932.08 = 13,253.16/x
  3. Step 3: Cross multiply
    23,863.80x = 32,932.08 × 13,253.16
  4. Step 4: Simplify right side
    23,863.80x = 436,454,125.37
  5. Step 5: Solve for x
    x = 436,454,125.37/23,863.80
  6. Step 6: Final answer
    x = 18,289.38

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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.