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Finding the Fourth Proportional to 22,369.92, 30,825 and 17,303.37

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Solution

The fourth proportional to 22,369.92, 30,825 and 17,303.37 is: 23,843.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,369.92 : 30,825 = 17,303.37 : x
  2. Step 2: Convert to fraction form
    22,369.92/30,825 = 17,303.37/x
  3. Step 3: Cross multiply
    22,369.92x = 30,825 × 17,303.37
  4. Step 4: Simplify right side
    22,369.92x = 533,376,380.25
  5. Step 5: Solve for x
    x = 533,376,380.25/22,369.92
  6. Step 6: Final answer
    x = 23,843.46

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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.