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Finding the Fourth Proportional to 24,176.81, 33,365.99 and 13,422.69

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Solution

The fourth proportional to 24,176.81, 33,365.99 and 13,422.69 is: 18,524.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,176.81 : 33,365.99 = 13,422.69 : x
  2. Step 2: Convert to fraction form
    24,176.81/33,365.99 = 13,422.69/x
  3. Step 3: Cross multiply
    24,176.81x = 33,365.99 × 13,422.69
  4. Step 4: Simplify right side
    24,176.81x = 447,861,373.87
  5. Step 5: Solve for x
    x = 447,861,373.87/24,176.81
  6. Step 6: Final answer
    x = 18,524.42

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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.