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Finding the Fourth Proportional to 21,806.26, 32,705.88 and 6,220.24

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Solution

The fourth proportional to 21,806.26, 32,705.88 and 6,220.24 is: 9,329.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,806.26 : 32,705.88 = 6,220.24 : x
  2. Step 2: Convert to fraction form
    21,806.26/32,705.88 = 6,220.24/x
  3. Step 3: Cross multiply
    21,806.26x = 32,705.88 × 6,220.24
  4. Step 4: Simplify right side
    21,806.26x = 203,438,423.01
  5. Step 5: Solve for x
    x = 203,438,423.01/21,806.26
  6. Step 6: Final answer
    x = 9,329.36

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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.