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Finding the Fourth Proportional to 20,858.67, 31,284.65 and 9,169.71

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Solution

The fourth proportional to 20,858.67, 31,284.65 and 9,169.71 is: 13,753.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,858.67 : 31,284.65 = 9,169.71 : x
  2. Step 2: Convert to fraction form
    20,858.67/31,284.65 = 9,169.71/x
  3. Step 3: Cross multiply
    20,858.67x = 31,284.65 × 9,169.71
  4. Step 4: Simplify right side
    20,858.67x = 286,871,122.10
  5. Step 5: Solve for x
    x = 286,871,122.10/20,858.67
  6. Step 6: Final answer
    x = 13,753.09

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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.