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Finding the Fourth Proportional to 24,467.30, 33,764.98 and 13,859

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Solution

The fourth proportional to 24,467.30, 33,764.98 and 13,859 is: 19,125.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,467.30 : 33,764.98 = 13,859 : x
  2. Step 2: Convert to fraction form
    24,467.30/33,764.98 = 13,859/x
  3. Step 3: Cross multiply
    24,467.30x = 33,764.98 × 13,859
  4. Step 4: Simplify right side
    24,467.30x = 467,948,857.82
  5. Step 5: Solve for x
    x = 467,948,857.82/24,467.30
  6. Step 6: Final answer
    x = 19,125.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.