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Finding the Fourth Proportional to 13,768.78, 20,637.36 and 6,264.28

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Solution

The fourth proportional to 13,768.78, 20,637.36 and 6,264.28 is: 9,389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768.78 : 20,637.36 = 6,264.28 : x
  2. Step 2: Convert to fraction form
    13,768.78/20,637.36 = 6,264.28/x
  3. Step 3: Cross multiply
    13,768.78x = 20,637.36 × 6,264.28
  4. Step 4: Simplify right side
    13,768.78x = 129,278,201.50
  5. Step 5: Solve for x
    x = 129,278,201.50/13,768.78
  6. Step 6: Final answer
    x = 9,389.23

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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.