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Finding the Fourth Proportional to 21,767.70, 32,641.82 and 6,181.68

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Solution

The fourth proportional to 21,767.70, 32,641.82 and 6,181.68 is: 9,269.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,767.70 : 32,641.82 = 6,181.68 : x
  2. Step 2: Convert to fraction form
    21,767.70/32,641.82 = 6,181.68/x
  3. Step 3: Cross multiply
    21,767.70x = 32,641.82 × 6,181.68
  4. Step 4: Simplify right side
    21,767.70x = 201,781,285.86
  5. Step 5: Solve for x
    x = 201,781,285.86/21,767.70
  6. Step 6: Final answer
    x = 9,269.76

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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.