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Finding the Fourth Proportional to 20,177.70, 30,277.35 and 9,086.10

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Solution

The fourth proportional to 20,177.70, 30,277.35 and 9,086.10 is: 13,634.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,177.70 : 30,277.35 = 9,086.10 : x
  2. Step 2: Convert to fraction form
    20,177.70/30,277.35 = 9,086.10/x
  3. Step 3: Cross multiply
    20,177.70x = 30,277.35 × 9,086.10
  4. Step 4: Simplify right side
    20,177.70x = 275,103,029.84
  5. Step 5: Solve for x
    x = 275,103,029.84/20,177.70
  6. Step 6: Final answer
    x = 13,634.01

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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.