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Finding the Fourth Proportional to 24,525, 33,844.50 and 13,347

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Solution

The fourth proportional to 24,525, 33,844.50 and 13,347 is: 18,418.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,525 : 33,844.50 = 13,347 : x
  2. Step 2: Convert to fraction form
    24,525/33,844.50 = 13,347/x
  3. Step 3: Cross multiply
    24,525x = 33,844.50 × 13,347
  4. Step 4: Simplify right side
    24,525x = 451,722,541.50
  5. Step 5: Solve for x
    x = 451,722,541.50/24,525
  6. Step 6: Final answer
    x = 18,418.86

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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.