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Finding the Fourth Proportional to 21,647.10, 32,454.81 and 6,847.74

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Solution

The fourth proportional to 21,647.10, 32,454.81 and 6,847.74 is: 10,266.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,647.10 : 32,454.81 = 6,847.74 : x
  2. Step 2: Convert to fraction form
    21,647.10/32,454.81 = 6,847.74/x
  3. Step 3: Cross multiply
    21,647.10x = 32,454.81 × 6,847.74
  4. Step 4: Simplify right side
    21,647.10x = 222,242,100.63
  5. Step 5: Solve for x
    x = 222,242,100.63/21,647.10
  6. Step 6: Final answer
    x = 10,266.60

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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.