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Finding the Fourth Proportional to 24,944.28, 37,418.04 and 7,412.64

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Solution

The fourth proportional to 24,944.28, 37,418.04 and 7,412.64 is: 11,119.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,944.28 : 37,418.04 = 7,412.64 : x
  2. Step 2: Convert to fraction form
    24,944.28/37,418.04 = 7,412.64/x
  3. Step 3: Cross multiply
    24,944.28x = 37,418.04 × 7,412.64
  4. Step 4: Simplify right side
    24,944.28x = 277,366,460.03
  5. Step 5: Solve for x
    x = 277,366,460.03/24,944.28
  6. Step 6: Final answer
    x = 11,119.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.