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Finding the Fourth Proportional to 24,190.80, 33,381 and 13,578

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Solution

The fourth proportional to 24,190.80, 33,381 and 13,578 is: 18,736.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,190.80 : 33,381 = 13,578 : x
  2. Step 2: Convert to fraction form
    24,190.80/33,381 = 13,578/x
  3. Step 3: Cross multiply
    24,190.80x = 33,381 × 13,578
  4. Step 4: Simplify right side
    24,190.80x = 453,247,218
  5. Step 5: Solve for x
    x = 453,247,218/24,190.80
  6. Step 6: Final answer
    x = 18,736.35

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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.