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Finding the Fourth Proportional to 21,642.04, 32,466.24 and 6,847.60

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Solution

The fourth proportional to 21,642.04, 32,466.24 and 6,847.60 is: 10,272.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,642.04 : 32,466.24 = 6,847.60 : x
  2. Step 2: Convert to fraction form
    21,642.04/32,466.24 = 6,847.60/x
  3. Step 3: Cross multiply
    21,642.04x = 32,466.24 × 6,847.60
  4. Step 4: Simplify right side
    21,642.04x = 222,315,825.02
  5. Step 5: Solve for x
    x = 222,315,825.02/21,642.04
  6. Step 6: Final answer
    x = 10,272.41

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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.