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Finding the Fourth Proportional to 12,129.34, 16,732.95 and 8,766.83

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Solution

The fourth proportional to 12,129.34, 16,732.95 and 8,766.83 is: 12,094.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.34 : 16,732.95 = 8,766.83 : x
  2. Step 2: Convert to fraction form
    12,129.34/16,732.95 = 8,766.83/x
  3. Step 3: Cross multiply
    12,129.34x = 16,732.95 × 8,766.83
  4. Step 4: Simplify right side
    12,129.34x = 146,694,844.38
  5. Step 5: Solve for x
    x = 146,694,844.38/12,129.34
  6. Step 6: Final answer
    x = 12,094.22

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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.