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Finding the Fourth Proportional to 23,868, 32,937.84 and 14,443.92

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Solution

The fourth proportional to 23,868, 32,937.84 and 14,443.92 is: 19,932.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,868 : 32,937.84 = 14,443.92 : x
  2. Step 2: Convert to fraction form
    23,868/32,937.84 = 14,443.92/x
  3. Step 3: Cross multiply
    23,868x = 32,937.84 × 14,443.92
  4. Step 4: Simplify right side
    23,868x = 475,751,525.93
  5. Step 5: Solve for x
    x = 475,751,525.93/23,868
  6. Step 6: Final answer
    x = 19,932.61

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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.