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Finding the Fourth Proportional to 17,362.25, 23,959.85 and 9,404.49

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Solution

The fourth proportional to 17,362.25, 23,959.85 and 9,404.49 is: 12,978.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,362.25 : 23,959.85 = 9,404.49 : x
  2. Step 2: Convert to fraction form
    17,362.25/23,959.85 = 9,404.49/x
  3. Step 3: Cross multiply
    17,362.25x = 23,959.85 × 9,404.49
  4. Step 4: Simplify right side
    17,362.25x = 225,330,122.70
  5. Step 5: Solve for x
    x = 225,330,122.70/17,362.25
  6. Step 6: Final answer
    x = 12,978.17

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1.5x scale

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.