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Finding the Fourth Proportional to 12,182.42, 16,806.38 and 7,144.08

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Solution

The fourth proportional to 12,182.42, 16,806.38 and 7,144.08 is: 9,855.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.42 : 16,806.38 = 7,144.08 : x
  2. Step 2: Convert to fraction form
    12,182.42/16,806.38 = 7,144.08/x
  3. Step 3: Cross multiply
    12,182.42x = 16,806.38 × 7,144.08
  4. Step 4: Simplify right side
    12,182.42x = 120,066,087.51
  5. Step 5: Solve for x
    x = 120,066,087.51/12,182.42
  6. Step 6: Final answer
    x = 9,855.69

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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.