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Finding the Fourth Proportional to 24,529.38, 33,855.21 and 13,920

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Solution

The fourth proportional to 24,529.38, 33,855.21 and 13,920 is: 19,212.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,529.38 : 33,855.21 = 13,920 : x
  2. Step 2: Convert to fraction form
    24,529.38/33,855.21 = 13,920/x
  3. Step 3: Cross multiply
    24,529.38x = 33,855.21 × 13,920
  4. Step 4: Simplify right side
    24,529.38x = 471,264,523.20
  5. Step 5: Solve for x
    x = 471,264,523.20/24,529.38
  6. Step 6: Final answer
    x = 19,212.25

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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.