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Finding the Fourth Proportional to 10,801.84, 16,174.72 and 9,251.80

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Solution

The fourth proportional to 10,801.84, 16,174.72 and 9,251.80 is: 13,853.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.84 : 16,174.72 = 9,251.80 : x
  2. Step 2: Convert to fraction form
    10,801.84/16,174.72 = 9,251.80/x
  3. Step 3: Cross multiply
    10,801.84x = 16,174.72 × 9,251.80
  4. Step 4: Simplify right side
    10,801.84x = 149,645,274.50
  5. Step 5: Solve for x
    x = 149,645,274.50/10,801.84
  6. Step 6: Final answer
    x = 13,853.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.