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Finding the Fourth Proportional to 13,221.17, 19,796.21 and 6,968.17

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Solution

The fourth proportional to 13,221.17, 19,796.21 and 6,968.17 is: 10,433.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,221.17 : 19,796.21 = 6,968.17 : x
  2. Step 2: Convert to fraction form
    13,221.17/19,796.21 = 6,968.17/x
  3. Step 3: Cross multiply
    13,221.17x = 19,796.21 × 6,968.17
  4. Step 4: Simplify right side
    13,221.17x = 137,943,272.30
  5. Step 5: Solve for x
    x = 137,943,272.30/13,221.17
  6. Step 6: Final answer
    x = 10,433.52

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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.