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Finding the Fourth Proportional to 13,776.25, 20,664.57 and 3,388

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Solution

The fourth proportional to 13,776.25, 20,664.57 and 3,388 is: 5,082.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776.25 : 20,664.57 = 3,388 : x
  2. Step 2: Convert to fraction form
    13,776.25/20,664.57 = 3,388/x
  3. Step 3: Cross multiply
    13,776.25x = 20,664.57 × 3,388
  4. Step 4: Simplify right side
    13,776.25x = 70,011,563.16
  5. Step 5: Solve for x
    x = 70,011,563.16/13,776.25
  6. Step 6: Final answer
    x = 5,082.05

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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.