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Finding the Fourth Proportional to 24,571.50, 33,908.62 and 14,499.96

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Solution

The fourth proportional to 24,571.50, 33,908.62 and 14,499.96 is: 20,009.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,571.50 : 33,908.62 = 14,499.96 : x
  2. Step 2: Convert to fraction form
    24,571.50/33,908.62 = 14,499.96/x
  3. Step 3: Cross multiply
    24,571.50x = 33,908.62 × 14,499.96
  4. Step 4: Simplify right side
    24,571.50x = 491,673,633.66
  5. Step 5: Solve for x
    x = 491,673,633.66/24,571.50
  6. Step 6: Final answer
    x = 20,009.92

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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.