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Finding the Fourth Proportional to 21,797.25, 32,696.18 and 6,214.88

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Solution

The fourth proportional to 21,797.25, 32,696.18 and 6,214.88 is: 9,322.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,797.25 : 32,696.18 = 6,214.88 : x
  2. Step 2: Convert to fraction form
    21,797.25/32,696.18 = 6,214.88/x
  3. Step 3: Cross multiply
    21,797.25x = 32,696.18 × 6,214.88
  4. Step 4: Simplify right side
    21,797.25x = 203,202,640.60
  5. Step 5: Solve for x
    x = 203,202,640.60/21,797.25
  6. Step 6: Final answer
    x = 9,322.40

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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.