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Finding the Fourth Proportional to 28,198.70, 38,914.18 and 16,261.88

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Solution

The fourth proportional to 28,198.70, 38,914.18 and 16,261.88 is: 22,441.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,198.70 : 38,914.18 = 16,261.88 : x
  2. Step 2: Convert to fraction form
    28,198.70/38,914.18 = 16,261.88/x
  3. Step 3: Cross multiply
    28,198.70x = 38,914.18 × 16,261.88
  4. Step 4: Simplify right side
    28,198.70x = 632,817,725.46
  5. Step 5: Solve for x
    x = 632,817,725.46/28,198.70
  6. Step 6: Final answer
    x = 22,441.38

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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.