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Finding the Fourth Proportional to 39,494.42, 59,239.81 and 9,911.60

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Solution

The fourth proportional to 39,494.42, 59,239.81 and 9,911.60 is: 14,866.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,494.42 : 59,239.81 = 9,911.60 : x
  2. Step 2: Convert to fraction form
    39,494.42/59,239.81 = 9,911.60/x
  3. Step 3: Cross multiply
    39,494.42x = 59,239.81 × 9,911.60
  4. Step 4: Simplify right side
    39,494.42x = 587,161,183.38
  5. Step 5: Solve for x
    x = 587,161,183.38/39,494.42
  6. Step 6: Final answer
    x = 14,866.94

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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.