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Finding the Fourth Proportional to 24,197.84, 33,394.32 and 13,589

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Solution

The fourth proportional to 24,197.84, 33,394.32 and 13,589 is: 18,753.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,197.84 : 33,394.32 = 13,589 : x
  2. Step 2: Convert to fraction form
    24,197.84/33,394.32 = 13,589/x
  3. Step 3: Cross multiply
    24,197.84x = 33,394.32 × 13,589
  4. Step 4: Simplify right side
    24,197.84x = 453,795,414.48
  5. Step 5: Solve for x
    x = 453,795,414.48/24,197.84
  6. Step 6: Final answer
    x = 18,753.55

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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.