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Finding the Fourth Proportional to 21,647.34, 32,471.10 and 6,866.64

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Solution

The fourth proportional to 21,647.34, 32,471.10 and 6,866.64 is: 10,299.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,647.34 : 32,471.10 = 6,866.64 : x
  2. Step 2: Convert to fraction form
    21,647.34/32,471.10 = 6,866.64/x
  3. Step 3: Cross multiply
    21,647.34x = 32,471.10 × 6,866.64
  4. Step 4: Simplify right side
    21,647.34x = 222,967,354.10
  5. Step 5: Solve for x
    x = 222,967,354.10/21,647.34
  6. Step 6: Final answer
    x = 10,299.99

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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.