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Finding the Fourth Proportional to 21,642.87, 32,467.04 and 6,846.45

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Solution

The fourth proportional to 21,642.87, 32,467.04 and 6,846.45 is: 10,270.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,642.87 : 32,467.04 = 6,846.45 : x
  2. Step 2: Convert to fraction form
    21,642.87/32,467.04 = 6,846.45/x
  3. Step 3: Cross multiply
    21,642.87x = 32,467.04 × 6,846.45
  4. Step 4: Simplify right side
    21,642.87x = 222,283,966.01
  5. Step 5: Solve for x
    x = 222,283,966.01/21,642.87
  6. Step 6: Final answer
    x = 10,270.54

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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.