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Finding the Fourth Proportional to 12,039.14, 16,613.74 and 6,734.45

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Solution

The fourth proportional to 12,039.14, 16,613.74 and 6,734.45 is: 9,293.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,039.14 : 16,613.74 = 6,734.45 : x
  2. Step 2: Convert to fraction form
    12,039.14/16,613.74 = 6,734.45/x
  3. Step 3: Cross multiply
    12,039.14x = 16,613.74 × 6,734.45
  4. Step 4: Simplify right side
    12,039.14x = 111,884,451.30
  5. Step 5: Solve for x
    x = 111,884,451.30/12,039.14
  6. Step 6: Final answer
    x = 9,293.39

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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.