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Finding the Fourth Proportional to 14,578.96, 20,110.92 and 10,105.36

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Solution

The fourth proportional to 14,578.96, 20,110.92 and 10,105.36 is: 13,939.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,578.96 : 20,110.92 = 10,105.36 : x
  2. Step 2: Convert to fraction form
    14,578.96/20,110.92 = 10,105.36/x
  3. Step 3: Cross multiply
    14,578.96x = 20,110.92 × 10,105.36
  4. Step 4: Simplify right side
    14,578.96x = 203,228,086.53
  5. Step 5: Solve for x
    x = 203,228,086.53/14,578.96
  6. Step 6: Final answer
    x = 13,939.82

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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.