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Finding the Fourth Proportional to 24,493.37, 33,800.47 and 13,738.24

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Solution

The fourth proportional to 24,493.37, 33,800.47 and 13,738.24 is: 18,958.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,493.37 : 33,800.47 = 13,738.24 : x
  2. Step 2: Convert to fraction form
    24,493.37/33,800.47 = 13,738.24/x
  3. Step 3: Cross multiply
    24,493.37x = 33,800.47 × 13,738.24
  4. Step 4: Simplify right side
    24,493.37x = 464,358,731.28
  5. Step 5: Solve for x
    x = 464,358,731.28/24,493.37
  6. Step 6: Final answer
    x = 18,958.55

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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.