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Finding the Fourth Proportional to 21,646.26, 32,475.15 and 6,855.48

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Solution

The fourth proportional to 21,646.26, 32,475.15 and 6,855.48 is: 10,285.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,646.26 : 32,475.15 = 6,855.48 : x
  2. Step 2: Convert to fraction form
    21,646.26/32,475.15 = 6,855.48/x
  3. Step 3: Cross multiply
    21,646.26x = 32,475.15 × 6,855.48
  4. Step 4: Simplify right side
    21,646.26x = 222,632,741.32
  5. Step 5: Solve for x
    x = 222,632,741.32/21,646.26
  6. Step 6: Final answer
    x = 10,285.04

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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.