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Finding the Fourth Proportional to 20,797.12, 31,177.99 and 9,101.60

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Solution

The fourth proportional to 20,797.12, 31,177.99 and 9,101.60 is: 13,644.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,797.12 : 31,177.99 = 9,101.60 : x
  2. Step 2: Convert to fraction form
    20,797.12/31,177.99 = 9,101.60/x
  3. Step 3: Cross multiply
    20,797.12x = 31,177.99 × 9,101.60
  4. Step 4: Simplify right side
    20,797.12x = 283,769,460.65
  5. Step 5: Solve for x
    x = 283,769,460.65/20,797.12
  6. Step 6: Final answer
    x = 13,644.66

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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.