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Finding the Fourth Proportional to 13,838.66, 20,758.11 and 3,977.94

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Solution

The fourth proportional to 13,838.66, 20,758.11 and 3,977.94 is: 5,966.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.66 : 20,758.11 = 3,977.94 : x
  2. Step 2: Convert to fraction form
    13,838.66/20,758.11 = 3,977.94/x
  3. Step 3: Cross multiply
    13,838.66x = 20,758.11 × 3,977.94
  4. Step 4: Simplify right side
    13,838.66x = 82,574,579.02
  5. Step 5: Solve for x
    x = 82,574,579.02/13,838.66
  6. Step 6: Final answer
    x = 5,966.95

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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.