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Finding the Fourth Proportional to 24,842.19, 37,257.68 and 7,072.46

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Solution

The fourth proportional to 24,842.19, 37,257.68 and 7,072.46 is: 10,607.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,842.19 : 37,257.68 = 7,072.46 : x
  2. Step 2: Convert to fraction form
    24,842.19/37,257.68 = 7,072.46/x
  3. Step 3: Cross multiply
    24,842.19x = 37,257.68 × 7,072.46
  4. Step 4: Simplify right side
    24,842.19x = 263,503,229.84
  5. Step 5: Solve for x
    x = 263,503,229.84/24,842.19
  6. Step 6: Final answer
    x = 10,607.09

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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.