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Finding the Fourth Proportional to 21,647.56, 32,475.75 and 8,320

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Solution

The fourth proportional to 21,647.56, 32,475.75 and 8,320 is: 12,481.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,647.56 : 32,475.75 = 8,320 : x
  2. Step 2: Convert to fraction form
    21,647.56/32,475.75 = 8,320/x
  3. Step 3: Cross multiply
    21,647.56x = 32,475.75 × 8,320
  4. Step 4: Simplify right side
    21,647.56x = 270,198,240
  5. Step 5: Solve for x
    x = 270,198,240/21,647.56
  6. Step 6: Final answer
    x = 12,481.69

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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.