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Finding the Fourth Proportional to 12,464.80, 18,697.20 and 4,673.20

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Solution

The fourth proportional to 12,464.80, 18,697.20 and 4,673.20 is: 7,009.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.80 : 18,697.20 = 4,673.20 : x
  2. Step 2: Convert to fraction form
    12,464.80/18,697.20 = 4,673.20/x
  3. Step 3: Cross multiply
    12,464.80x = 18,697.20 × 4,673.20
  4. Step 4: Simplify right side
    12,464.80x = 87,375,755.04
  5. Step 5: Solve for x
    x = 87,375,755.04/12,464.80
  6. Step 6: Final answer
    x = 7,009.80

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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.