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Finding the Fourth Proportional to 20,177.70, 30,266.55 and 12,758.10

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Solution

The fourth proportional to 20,177.70, 30,266.55 and 12,758.10 is: 19,137.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,177.70 : 30,266.55 = 12,758.10 : x
  2. Step 2: Convert to fraction form
    20,177.70/30,266.55 = 12,758.10/x
  3. Step 3: Cross multiply
    20,177.70x = 30,266.55 × 12,758.10
  4. Step 4: Simplify right side
    20,177.70x = 386,143,671.56
  5. Step 5: Solve for x
    x = 386,143,671.56/20,177.70
  6. Step 6: Final answer
    x = 19,137.15

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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.