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Finding the Fourth Proportional to 20,143.80, 30,218.78 and 10,277.70

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Solution

The fourth proportional to 20,143.80, 30,218.78 and 10,277.70 is: 15,418.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143.80 : 30,218.78 = 10,277.70 : x
  2. Step 2: Convert to fraction form
    20,143.80/30,218.78 = 10,277.70/x
  3. Step 3: Cross multiply
    20,143.80x = 30,218.78 × 10,277.70
  4. Step 4: Simplify right side
    20,143.80x = 310,579,555.21
  5. Step 5: Solve for x
    x = 310,579,555.21/20,143.80
  6. Step 6: Final answer
    x = 15,418.12

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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.