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Finding the Fourth Proportional to 23,868, 32,937.84 and 16,428.96

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Solution

The fourth proportional to 23,868, 32,937.84 and 16,428.96 is: 22,671.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,868 : 32,937.84 = 16,428.96 : x
  2. Step 2: Convert to fraction form
    23,868/32,937.84 = 16,428.96/x
  3. Step 3: Cross multiply
    23,868x = 32,937.84 × 16,428.96
  4. Step 4: Simplify right side
    23,868x = 541,134,455.85
  5. Step 5: Solve for x
    x = 541,134,455.85/23,868
  6. Step 6: Final answer
    x = 22,671.96

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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.