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Finding the Fourth Proportional to 25,046.46, 37,588.73 and 9,266.42

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Solution

The fourth proportional to 25,046.46, 37,588.73 and 9,266.42 is: 13,906.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,046.46 : 37,588.73 = 9,266.42 : x
  2. Step 2: Convert to fraction form
    25,046.46/37,588.73 = 9,266.42/x
  3. Step 3: Cross multiply
    25,046.46x = 37,588.73 × 9,266.42
  4. Step 4: Simplify right side
    25,046.46x = 348,313,007.09
  5. Step 5: Solve for x
    x = 348,313,007.09/25,046.46
  6. Step 6: Final answer
    x = 13,906.68

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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.