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Finding the Fourth Proportional to 20,177.99, 30,266.68 and 9,076.84

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Solution

The fourth proportional to 20,177.99, 30,266.68 and 9,076.84 is: 13,615.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,177.99 : 30,266.68 = 9,076.84 : x
  2. Step 2: Convert to fraction form
    20,177.99/30,266.68 = 9,076.84/x
  3. Step 3: Cross multiply
    20,177.99x = 30,266.68 × 9,076.84
  4. Step 4: Simplify right side
    20,177.99x = 274,725,811.69
  5. Step 5: Solve for x
    x = 274,725,811.69/20,177.99
  6. Step 6: Final answer
    x = 13,615.12

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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.