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Finding the Fourth Proportional to 12,178.52, 16,806.12 and 7,986.50

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Solution

The fourth proportional to 12,178.52, 16,806.12 and 7,986.50 is: 11,021.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.52 : 16,806.12 = 7,986.50 : x
  2. Step 2: Convert to fraction form
    12,178.52/16,806.12 = 7,986.50/x
  3. Step 3: Cross multiply
    12,178.52x = 16,806.12 × 7,986.50
  4. Step 4: Simplify right side
    12,178.52x = 134,222,077.38
  5. Step 5: Solve for x
    x = 134,222,077.38/12,178.52
  6. Step 6: Final answer
    x = 11,021.21

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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.