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Finding the Fourth Proportional to 20,777.40, 31,166.10 and 10,409.40

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Solution

The fourth proportional to 20,777.40, 31,166.10 and 10,409.40 is: 15,614.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,777.40 : 31,166.10 = 10,409.40 : x
  2. Step 2: Convert to fraction form
    20,777.40/31,166.10 = 10,409.40/x
  3. Step 3: Cross multiply
    20,777.40x = 31,166.10 × 10,409.40
  4. Step 4: Simplify right side
    20,777.40x = 324,420,401.34
  5. Step 5: Solve for x
    x = 324,420,401.34/20,777.40
  6. Step 6: Final answer
    x = 15,614.10

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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.