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Finding the Fourth Proportional to 24,942.39, 37,419.82 and 7,412.22

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Solution

The fourth proportional to 24,942.39, 37,419.82 and 7,412.22 is: 11,120.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,942.39 : 37,419.82 = 7,412.22 : x
  2. Step 2: Convert to fraction form
    24,942.39/37,419.82 = 7,412.22/x
  3. Step 3: Cross multiply
    24,942.39x = 37,419.82 × 7,412.22
  4. Step 4: Simplify right side
    24,942.39x = 277,363,901.14
  5. Step 5: Solve for x
    x = 277,363,901.14/24,942.39
  6. Step 6: Final answer
    x = 11,120.18

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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.