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Finding the Fourth Proportional to 13,466.94, 20,172.87 and 10,977

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Solution

The fourth proportional to 13,466.94, 20,172.87 and 10,977 is: 16,443.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466.94 : 20,172.87 = 10,977 : x
  2. Step 2: Convert to fraction form
    13,466.94/20,172.87 = 10,977/x
  3. Step 3: Cross multiply
    13,466.94x = 20,172.87 × 10,977
  4. Step 4: Simplify right side
    13,466.94x = 221,437,593.99
  5. Step 5: Solve for x
    x = 221,437,593.99/13,466.94
  6. Step 6: Final answer
    x = 16,443.05

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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.