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Finding the Fourth Proportional to 12,204.53, 18,308.01 and 3,439.43

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Solution

The fourth proportional to 12,204.53, 18,308.01 and 3,439.43 is: 5,159.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.53 : 18,308.01 = 3,439.43 : x
  2. Step 2: Convert to fraction form
    12,204.53/18,308.01 = 3,439.43/x
  3. Step 3: Cross multiply
    12,204.53x = 18,308.01 × 3,439.43
  4. Step 4: Simplify right side
    12,204.53x = 62,969,118.83
  5. Step 5: Solve for x
    x = 62,969,118.83/12,204.53
  6. Step 6: Final answer
    x = 5,159.49

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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.