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Finding the Fourth Proportional to 12,066.15, 16,651.90 and 6,689.16

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Solution

The fourth proportional to 12,066.15, 16,651.90 and 6,689.16 is: 9,231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,066.15 : 16,651.90 = 6,689.16 : x
  2. Step 2: Convert to fraction form
    12,066.15/16,651.90 = 6,689.16/x
  3. Step 3: Cross multiply
    12,066.15x = 16,651.90 × 6,689.16
  4. Step 4: Simplify right side
    12,066.15x = 111,387,147.31
  5. Step 5: Solve for x
    x = 111,387,147.31/12,066.15
  6. Step 6: Final answer
    x = 9,231.38

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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.