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Finding the Fourth Proportional to 24,191.84, 33,382.89 and 13,579.40

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Solution

The fourth proportional to 24,191.84, 33,382.89 and 13,579.40 is: 18,738.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,191.84 : 33,382.89 = 13,579.40 : x
  2. Step 2: Convert to fraction form
    24,191.84/33,382.89 = 13,579.40/x
  3. Step 3: Cross multiply
    24,191.84x = 33,382.89 × 13,579.40
  4. Step 4: Simplify right side
    24,191.84x = 453,319,449.55
  5. Step 5: Solve for x
    x = 453,319,449.55/24,191.84
  6. Step 6: Final answer
    x = 18,738.53

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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.