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Finding the Fourth Proportional to 21,765.30, 32,647.98 and 6,183.06

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Solution

The fourth proportional to 21,765.30, 32,647.98 and 6,183.06 is: 9,274.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,765.30 : 32,647.98 = 6,183.06 : x
  2. Step 2: Convert to fraction form
    21,765.30/32,647.98 = 6,183.06/x
  3. Step 3: Cross multiply
    21,765.30x = 32,647.98 × 6,183.06
  4. Step 4: Simplify right side
    21,765.30x = 201,864,419.22
  5. Step 5: Solve for x
    x = 201,864,419.22/21,765.30
  6. Step 6: Final answer
    x = 9,274.60

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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.