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Finding the Fourth Proportional to 12,201.12, 16,837.44 and 6,612

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Solution

The fourth proportional to 12,201.12, 16,837.44 and 6,612 is: 9,124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.12 : 16,837.44 = 6,612 : x
  2. Step 2: Convert to fraction form
    12,201.12/16,837.44 = 6,612/x
  3. Step 3: Cross multiply
    12,201.12x = 16,837.44 × 6,612
  4. Step 4: Simplify right side
    12,201.12x = 111,329,153.28
  5. Step 5: Solve for x
    x = 111,329,153.28/12,201.12
  6. Step 6: Final answer
    x = 9,124.50

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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.