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Finding the Fourth Proportional to 12,234, 16,884.36 and 7,266

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Solution

The fourth proportional to 12,234, 16,884.36 and 7,266 is: 10,027.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234 : 16,884.36 = 7,266 : x
  2. Step 2: Convert to fraction form
    12,234/16,884.36 = 7,266/x
  3. Step 3: Cross multiply
    12,234x = 16,884.36 × 7,266
  4. Step 4: Simplify right side
    12,234x = 122,681,759.76
  5. Step 5: Solve for x
    x = 122,681,759.76/12,234
  6. Step 6: Final answer
    x = 10,027.94

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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.