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Finding the Fourth Proportional to 24,819, 34,250.22 and 13,641

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Solution

The fourth proportional to 24,819, 34,250.22 and 13,641 is: 18,824.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,819 : 34,250.22 = 13,641 : x
  2. Step 2: Convert to fraction form
    24,819/34,250.22 = 13,641/x
  3. Step 3: Cross multiply
    24,819x = 34,250.22 × 13,641
  4. Step 4: Simplify right side
    24,819x = 467,207,251.02
  5. Step 5: Solve for x
    x = 467,207,251.02/24,819
  6. Step 6: Final answer
    x = 18,824.58

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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.