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Finding the Fourth Proportional to 21,797.72, 32,696.89 and 6,215.34

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Solution

The fourth proportional to 21,797.72, 32,696.89 and 6,215.34 is: 9,323.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,797.72 : 32,696.89 = 6,215.34 : x
  2. Step 2: Convert to fraction form
    21,797.72/32,696.89 = 6,215.34/x
  3. Step 3: Cross multiply
    21,797.72x = 32,696.89 × 6,215.34
  4. Step 4: Simplify right side
    21,797.72x = 203,222,395.37
  5. Step 5: Solve for x
    x = 203,222,395.37/21,797.72
  6. Step 6: Final answer
    x = 9,323.10

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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.