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Finding the Fourth Proportional to 24,467.76, 33,765.60 and 13,859.36

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Solution

The fourth proportional to 24,467.76, 33,765.60 and 13,859.36 is: 19,125.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,467.76 : 33,765.60 = 13,859.36 : x
  2. Step 2: Convert to fraction form
    24,467.76/33,765.60 = 13,859.36/x
  3. Step 3: Cross multiply
    24,467.76x = 33,765.60 × 13,859.36
  4. Step 4: Simplify right side
    24,467.76x = 467,969,606.02
  5. Step 5: Solve for x
    x = 467,969,606.02/24,467.76
  6. Step 6: Final answer
    x = 19,125.97

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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.