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Finding the Fourth Proportional to 14,617.67, 20,177.57 and 8,649.33

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Solution

The fourth proportional to 14,617.67, 20,177.57 and 8,649.33 is: 11,939.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,617.67 : 20,177.57 = 8,649.33 : x
  2. Step 2: Convert to fraction form
    14,617.67/20,177.57 = 8,649.33/x
  3. Step 3: Cross multiply
    14,617.67x = 20,177.57 × 8,649.33
  4. Step 4: Simplify right side
    14,617.67x = 174,522,383.16
  5. Step 5: Solve for x
    x = 174,522,383.16/14,617.67
  6. Step 6: Final answer
    x = 11,939.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.