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Finding the Fourth Proportional to 12,004.38, 16,567.83 and 8,658.30

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Solution

The fourth proportional to 12,004.38, 16,567.83 and 8,658.30 is: 11,949.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,004.38 : 16,567.83 = 8,658.30 : x
  2. Step 2: Convert to fraction form
    12,004.38/16,567.83 = 8,658.30/x
  3. Step 3: Cross multiply
    12,004.38x = 16,567.83 × 8,658.30
  4. Step 4: Simplify right side
    12,004.38x = 143,449,242.49
  5. Step 5: Solve for x
    x = 143,449,242.49/12,004.38
  6. Step 6: Final answer
    x = 11,949.74

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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.