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Finding the Fourth Proportional to 12,192.38, 16,820.02 and 8,612.58

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Solution

The fourth proportional to 12,192.38, 16,820.02 and 8,612.58 is: 11,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,192.38 : 16,820.02 = 8,612.58 : x
  2. Step 2: Convert to fraction form
    12,192.38/16,820.02 = 8,612.58/x
  3. Step 3: Cross multiply
    12,192.38x = 16,820.02 × 8,612.58
  4. Step 4: Simplify right side
    12,192.38x = 144,863,767.85
  5. Step 5: Solve for x
    x = 144,863,767.85/12,192.38
  6. Step 6: Final answer
    x = 11,881.50

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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.