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Finding the Fourth Proportional to 24,743.84, 37,115.22 and 6,023.97

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Solution

The fourth proportional to 24,743.84, 37,115.22 and 6,023.97 is: 9,035.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,743.84 : 37,115.22 = 6,023.97 : x
  2. Step 2: Convert to fraction form
    24,743.84/37,115.22 = 6,023.97/x
  3. Step 3: Cross multiply
    24,743.84x = 37,115.22 × 6,023.97
  4. Step 4: Simplify right side
    24,743.84x = 223,580,971.82
  5. Step 5: Solve for x
    x = 223,580,971.82/24,743.84
  6. Step 6: Final answer
    x = 9,035.83

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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.