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Finding the Fourth Proportional to 21,782.26, 32,669.88 and 6,196.24

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Solution

The fourth proportional to 21,782.26, 32,669.88 and 6,196.24 is: 9,293.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.26 : 32,669.88 = 6,196.24 : x
  2. Step 2: Convert to fraction form
    21,782.26/32,669.88 = 6,196.24/x
  3. Step 3: Cross multiply
    21,782.26x = 32,669.88 × 6,196.24
  4. Step 4: Simplify right side
    21,782.26x = 202,430,417.25
  5. Step 5: Solve for x
    x = 202,430,417.25/21,782.26
  6. Step 6: Final answer
    x = 9,293.36

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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.