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Finding the Fourth Proportional to 12,227, 16,865.58 and 9,748.92

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Solution

The fourth proportional to 12,227, 16,865.58 and 9,748.92 is: 13,447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227 : 16,865.58 = 9,748.92 : x
  2. Step 2: Convert to fraction form
    12,227/16,865.58 = 9,748.92/x
  3. Step 3: Cross multiply
    12,227x = 16,865.58 × 9,748.92
  4. Step 4: Simplify right side
    12,227x = 164,421,190.17
  5. Step 5: Solve for x
    x = 164,421,190.17/12,227
  6. Step 6: Final answer
    x = 13,447.39

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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.