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Finding the Fourth Proportional to 24,824, 34,257.24 and 13,646

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Solution

The fourth proportional to 24,824, 34,257.24 and 13,646 is: 18,831.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,824 : 34,257.24 = 13,646 : x
  2. Step 2: Convert to fraction form
    24,824/34,257.24 = 13,646/x
  3. Step 3: Cross multiply
    24,824x = 34,257.24 × 13,646
  4. Step 4: Simplify right side
    24,824x = 467,474,297.04
  5. Step 5: Solve for x
    x = 467,474,297.04/24,824
  6. Step 6: Final answer
    x = 18,831.55

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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.