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Finding the Fourth Proportional to 21,647.25, 32,467.62 and 6,854.25

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Solution

The fourth proportional to 21,647.25, 32,467.62 and 6,854.25 is: 10,280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,647.25 : 32,467.62 = 6,854.25 : x
  2. Step 2: Convert to fraction form
    21,647.25/32,467.62 = 6,854.25/x
  3. Step 3: Cross multiply
    21,647.25x = 32,467.62 × 6,854.25
  4. Step 4: Simplify right side
    21,647.25x = 222,541,184.39
  5. Step 5: Solve for x
    x = 222,541,184.39/21,647.25
  6. Step 6: Final answer
    x = 10,280.34

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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.