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Finding the Fourth Proportional to 24,505.92, 33,825.87 and 14,433.66

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Solution

The fourth proportional to 24,505.92, 33,825.87 and 14,433.66 is: 19,922.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,505.92 : 33,825.87 = 14,433.66 : x
  2. Step 2: Convert to fraction form
    24,505.92/33,825.87 = 14,433.66/x
  3. Step 3: Cross multiply
    24,505.92x = 33,825.87 × 14,433.66
  4. Step 4: Simplify right side
    24,505.92x = 488,231,106.78
  5. Step 5: Solve for x
    x = 488,231,106.78/24,505.92
  6. Step 6: Final answer
    x = 19,922.99

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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.