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Finding the Fourth Proportional to 21,648.65, 32,474.12 and 6,856.43

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Solution

The fourth proportional to 21,648.65, 32,474.12 and 6,856.43 is: 10,285.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,648.65 : 32,474.12 = 6,856.43 : x
  2. Step 2: Convert to fraction form
    21,648.65/32,474.12 = 6,856.43/x
  3. Step 3: Cross multiply
    21,648.65x = 32,474.12 × 6,856.43
  4. Step 4: Simplify right side
    21,648.65x = 222,656,333.94
  5. Step 5: Solve for x
    x = 222,656,333.94/21,648.65
  6. Step 6: Final answer
    x = 10,285.00

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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.