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Finding the Fourth Proportional to 13,204.04, 18,221.54 and 7,898.85

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Solution

The fourth proportional to 13,204.04, 18,221.54 and 7,898.85 is: 10,900.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.04 : 18,221.54 = 7,898.85 : x
  2. Step 2: Convert to fraction form
    13,204.04/18,221.54 = 7,898.85/x
  3. Step 3: Cross multiply
    13,204.04x = 18,221.54 × 7,898.85
  4. Step 4: Simplify right side
    13,204.04x = 143,929,171.73
  5. Step 5: Solve for x
    x = 143,929,171.73/13,204.04
  6. Step 6: Final answer
    x = 10,900.39

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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.