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Finding the Fourth Proportional to 13,796.26, 20,678.17 and 6,385.06

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Solution

The fourth proportional to 13,796.26, 20,678.17 and 6,385.06 is: 9,570.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,796.26 : 20,678.17 = 6,385.06 : x
  2. Step 2: Convert to fraction form
    13,796.26/20,678.17 = 6,385.06/x
  3. Step 3: Cross multiply
    13,796.26x = 20,678.17 × 6,385.06
  4. Step 4: Simplify right side
    13,796.26x = 132,031,356.14
  5. Step 5: Solve for x
    x = 132,031,356.14/13,796.26
  6. Step 6: Final answer
    x = 9,570.08

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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.