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Finding the Fourth Proportional to 21,788.68, 32,693.82 and 8,640.76

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Solution

The fourth proportional to 21,788.68, 32,693.82 and 8,640.76 is: 12,965.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,788.68 : 32,693.82 = 8,640.76 : x
  2. Step 2: Convert to fraction form
    21,788.68/32,693.82 = 8,640.76/x
  3. Step 3: Cross multiply
    21,788.68x = 32,693.82 × 8,640.76
  4. Step 4: Simplify right side
    21,788.68x = 282,499,245.43
  5. Step 5: Solve for x
    x = 282,499,245.43/21,788.68
  6. Step 6: Final answer
    x = 12,965.42

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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.