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Finding the Fourth Proportional to 24,199.85, 33,396.19 and 13,589.25

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Solution

The fourth proportional to 24,199.85, 33,396.19 and 13,589.25 is: 18,753.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,199.85 : 33,396.19 = 13,589.25 : x
  2. Step 2: Convert to fraction form
    24,199.85/33,396.19 = 13,589.25/x
  3. Step 3: Cross multiply
    24,199.85x = 33,396.19 × 13,589.25
  4. Step 4: Simplify right side
    24,199.85x = 453,829,174.96
  5. Step 5: Solve for x
    x = 453,829,174.96/24,199.85
  6. Step 6: Final answer
    x = 18,753.39

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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.