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Finding the Fourth Proportional to 21,765.84, 32,648.76 and 6,181.44

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Solution

The fourth proportional to 21,765.84, 32,648.76 and 6,181.44 is: 9,272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,765.84 : 32,648.76 = 6,181.44 : x
  2. Step 2: Convert to fraction form
    21,765.84/32,648.76 = 6,181.44/x
  3. Step 3: Cross multiply
    21,765.84x = 32,648.76 × 6,181.44
  4. Step 4: Simplify right side
    21,765.84x = 201,816,351.01
  5. Step 5: Solve for x
    x = 201,816,351.01/21,765.84
  6. Step 6: Final answer
    x = 9,272.16

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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.