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Finding the Fourth Proportional to 24,105.76, 33,267.20 and 13,494.76

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Solution

The fourth proportional to 24,105.76, 33,267.20 and 13,494.76 is: 18,623.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,105.76 : 33,267.20 = 13,494.76 : x
  2. Step 2: Convert to fraction form
    24,105.76/33,267.20 = 13,494.76/x
  3. Step 3: Cross multiply
    24,105.76x = 33,267.20 × 13,494.76
  4. Step 4: Simplify right side
    24,105.76x = 448,932,879.87
  5. Step 5: Solve for x
    x = 448,932,879.87/24,105.76
  6. Step 6: Final answer
    x = 18,623.47

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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.