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Finding the Fourth Proportional to 21,646.25, 32,466.12 and 6,853.25

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Solution

The fourth proportional to 21,646.25, 32,466.12 and 6,853.25 is: 10,278.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,646.25 : 32,466.12 = 6,853.25 : x
  2. Step 2: Convert to fraction form
    21,646.25/32,466.12 = 6,853.25/x
  3. Step 3: Cross multiply
    21,646.25x = 32,466.12 × 6,853.25
  4. Step 4: Simplify right side
    21,646.25x = 222,498,274.56
  5. Step 5: Solve for x
    x = 222,498,274.56/21,646.25
  6. Step 6: Final answer
    x = 10,278.84

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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.