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Finding the Fourth Proportional to 12,005.38, 16,569.21 and 8,659.30

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Solution

The fourth proportional to 12,005.38, 16,569.21 and 8,659.30 is: 11,951.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.38 : 16,569.21 = 8,659.30 : x
  2. Step 2: Convert to fraction form
    12,005.38/16,569.21 = 8,659.30/x
  3. Step 3: Cross multiply
    12,005.38x = 16,569.21 × 8,659.30
  4. Step 4: Simplify right side
    12,005.38x = 143,477,760.15
  5. Step 5: Solve for x
    x = 143,477,760.15/12,005.38
  6. Step 6: Final answer
    x = 11,951.12

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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.