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Finding the Fourth Proportional to 20,114.19, 27,758.90 and 11,616.67

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Solution

The fourth proportional to 20,114.19, 27,758.90 and 11,616.67 is: 16,031.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,114.19 : 27,758.90 = 11,616.67 : x
  2. Step 2: Convert to fraction form
    20,114.19/27,758.90 = 11,616.67/x
  3. Step 3: Cross multiply
    20,114.19x = 27,758.90 × 11,616.67
  4. Step 4: Simplify right side
    20,114.19x = 322,465,783.99
  5. Step 5: Solve for x
    x = 322,465,783.99/20,114.19
  6. Step 6: Final answer
    x = 16,031.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.