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Finding the Fourth Proportional to 21,646.37, 32,466.31 and 6,853.37

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Solution

The fourth proportional to 21,646.37, 32,466.31 and 6,853.37 is: 10,279.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,646.37 : 32,466.31 = 6,853.37 : x
  2. Step 2: Convert to fraction form
    21,646.37/32,466.31 = 6,853.37/x
  3. Step 3: Cross multiply
    21,646.37x = 32,466.31 × 6,853.37
  4. Step 4: Simplify right side
    21,646.37x = 222,503,617.83
  5. Step 5: Solve for x
    x = 222,503,617.83/21,646.37
  6. Step 6: Final answer
    x = 10,279.03

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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.