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Finding the Fourth Proportional to 24,086.72, 33,244.84 and 14,658.32

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Solution

The fourth proportional to 24,086.72, 33,244.84 and 14,658.32 is: 20,231.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,086.72 : 33,244.84 = 14,658.32 : x
  2. Step 2: Convert to fraction form
    24,086.72/33,244.84 = 14,658.32/x
  3. Step 3: Cross multiply
    24,086.72x = 33,244.84 × 14,658.32
  4. Step 4: Simplify right side
    24,086.72x = 487,313,503.07
  5. Step 5: Solve for x
    x = 487,313,503.07/24,086.72
  6. Step 6: Final answer
    x = 20,231.63

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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.