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Finding the Fourth Proportional to 24,589, 33,933.54 and 13,411.72

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Solution

The fourth proportional to 24,589, 33,933.54 and 13,411.72 is: 18,508.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,589 : 33,933.54 = 13,411.72 : x
  2. Step 2: Convert to fraction form
    24,589/33,933.54 = 13,411.72/x
  3. Step 3: Cross multiply
    24,589x = 33,933.54 × 13,411.72
  4. Step 4: Simplify right side
    24,589x = 455,107,137.09
  5. Step 5: Solve for x
    x = 455,107,137.09/24,589
  6. Step 6: Final answer
    x = 18,508.57

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1.5x scale

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.