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Finding the Fourth Proportional to 13,776.78, 20,665.56 and 3,388.50

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Solution

The fourth proportional to 13,776.78, 20,665.56 and 3,388.50 is: 5,082.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776.78 : 20,665.56 = 3,388.50 : x
  2. Step 2: Convert to fraction form
    13,776.78/20,665.56 = 3,388.50/x
  3. Step 3: Cross multiply
    13,776.78x = 20,665.56 × 3,388.50
  4. Step 4: Simplify right side
    13,776.78x = 70,025,250.06
  5. Step 5: Solve for x
    x = 70,025,250.06/13,776.78
  6. Step 6: Final answer
    x = 5,082.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.