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Finding the Fourth Proportional to 13,195.49, 19,793.07 and 5,301.50

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Solution

The fourth proportional to 13,195.49, 19,793.07 and 5,301.50 is: 7,952.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,195.49 : 19,793.07 = 5,301.50 : x
  2. Step 2: Convert to fraction form
    13,195.49/19,793.07 = 5,301.50/x
  3. Step 3: Cross multiply
    13,195.49x = 19,793.07 × 5,301.50
  4. Step 4: Simplify right side
    13,195.49x = 104,932,960.61
  5. Step 5: Solve for x
    x = 104,932,960.61/13,195.49
  6. Step 6: Final answer
    x = 7,952.18

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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.