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Finding the Fourth Proportional to 12,201.94, 18,310.47 and 4,805.11

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Solution

The fourth proportional to 12,201.94, 18,310.47 and 4,805.11 is: 7,210.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.94 : 18,310.47 = 4,805.11 : x
  2. Step 2: Convert to fraction form
    12,201.94/18,310.47 = 4,805.11/x
  3. Step 3: Cross multiply
    12,201.94x = 18,310.47 × 4,805.11
  4. Step 4: Simplify right side
    12,201.94x = 87,983,822.50
  5. Step 5: Solve for x
    x = 87,983,822.50/12,201.94
  6. Step 6: Final answer
    x = 7,210.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.