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Finding the Fourth Proportional to 13,203, 18,220.50 and 7,614.36

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Solution

The fourth proportional to 13,203, 18,220.50 and 7,614.36 is: 10,508.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,203 : 18,220.50 = 7,614.36 : x
  2. Step 2: Convert to fraction form
    13,203/18,220.50 = 7,614.36/x
  3. Step 3: Cross multiply
    13,203x = 18,220.50 × 7,614.36
  4. Step 4: Simplify right side
    13,203x = 138,737,446.38
  5. Step 5: Solve for x
    x = 138,737,446.38/13,203
  6. Step 6: Final answer
    x = 10,508.02

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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.