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Finding the Fourth Proportional to 22,320, 33,480 and 5,904

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Solution

The fourth proportional to 22,320, 33,480 and 5,904 is: 8,856

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,320 : 33,480 = 5,904 : x
  2. Step 2: Convert to fraction form
    22,320/33,480 = 5,904/x
  3. Step 3: Cross multiply
    22,320x = 33,480 × 5,904
  4. Step 4: Simplify right side
    22,320x = 197,665,920
  5. Step 5: Solve for x
    x = 197,665,920/22,320
  6. Step 6: Final answer
    x = 8,856

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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.