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Finding the Fourth Proportional to 20,143.30, 30,218.03 and 10,277.20

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Solution

The fourth proportional to 20,143.30, 30,218.03 and 10,277.20 is: 15,417.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143.30 : 30,218.03 = 10,277.20 : x
  2. Step 2: Convert to fraction form
    20,143.30/30,218.03 = 10,277.20/x
  3. Step 3: Cross multiply
    20,143.30x = 30,218.03 × 10,277.20
  4. Step 4: Simplify right side
    20,143.30x = 310,556,737.92
  5. Step 5: Solve for x
    x = 310,556,737.92/20,143.30
  6. Step 6: Final answer
    x = 15,417.37

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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.