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Finding the Fourth Proportional to 24,777, 34,192.80 and 13,599

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Solution

The fourth proportional to 24,777, 34,192.80 and 13,599 is: 18,766.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,777 : 34,192.80 = 13,599 : x
  2. Step 2: Convert to fraction form
    24,777/34,192.80 = 13,599/x
  3. Step 3: Cross multiply
    24,777x = 34,192.80 × 13,599
  4. Step 4: Simplify right side
    24,777x = 464,987,887.20
  5. Step 5: Solve for x
    x = 464,987,887.20/24,777
  6. Step 6: Final answer
    x = 18,766.92

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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.