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Finding the Fourth Proportional to 18,264, 27,400.32 and 5,952

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Solution

The fourth proportional to 18,264, 27,400.32 and 5,952 is: 8,929.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,264 : 27,400.32 = 5,952 : x
  2. Step 2: Convert to fraction form
    18,264/27,400.32 = 5,952/x
  3. Step 3: Cross multiply
    18,264x = 27,400.32 × 5,952
  4. Step 4: Simplify right side
    18,264x = 163,086,704.64
  5. Step 5: Solve for x
    x = 163,086,704.64/18,264
  6. Step 6: Final answer
    x = 8,929.41

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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.