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Finding the Fourth Proportional to 17,889, 26,838.26 and 6,202.20

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Solution

The fourth proportional to 17,889, 26,838.26 and 6,202.20 is: 9,304.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,889 : 26,838.26 = 6,202.20 : x
  2. Step 2: Convert to fraction form
    17,889/26,838.26 = 6,202.20/x
  3. Step 3: Cross multiply
    17,889x = 26,838.26 × 6,202.20
  4. Step 4: Simplify right side
    17,889x = 166,456,256.17
  5. Step 5: Solve for x
    x = 166,456,256.17/17,889
  6. Step 6: Final answer
    x = 9,304.95

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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.