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Finding the Fourth Proportional to 12,006.30, 16,567.83 and 6,700.38

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Solution

The fourth proportional to 12,006.30, 16,567.83 and 6,700.38 is: 9,246.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.30 : 16,567.83 = 6,700.38 : x
  2. Step 2: Convert to fraction form
    12,006.30/16,567.83 = 6,700.38/x
  3. Step 3: Cross multiply
    12,006.30x = 16,567.83 × 6,700.38
  4. Step 4: Simplify right side
    12,006.30x = 111,010,756.78
  5. Step 5: Solve for x
    x = 111,010,756.78/12,006.30
  6. Step 6: Final answer
    x = 9,246.04

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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.