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Finding the Fourth Proportional to 13,294.17, 19,945.44 and 3,934.17

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Solution

The fourth proportional to 13,294.17, 19,945.44 and 3,934.17 is: 5,902.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,294.17 : 19,945.44 = 3,934.17 : x
  2. Step 2: Convert to fraction form
    13,294.17/19,945.44 = 3,934.17/x
  3. Step 3: Cross multiply
    13,294.17x = 19,945.44 × 3,934.17
  4. Step 4: Simplify right side
    13,294.17x = 78,468,751.68
  5. Step 5: Solve for x
    x = 78,468,751.68/13,294.17
  6. Step 6: Final answer
    x = 5,902.49

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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.