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Finding the Fourth Proportional to 21,857.58, 32,778.32 and 7,813.82

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Solution

The fourth proportional to 21,857.58, 32,778.32 and 7,813.82 is: 11,717.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,857.58 : 32,778.32 = 7,813.82 : x
  2. Step 2: Convert to fraction form
    21,857.58/32,778.32 = 7,813.82/x
  3. Step 3: Cross multiply
    21,857.58x = 32,778.32 × 7,813.82
  4. Step 4: Simplify right side
    21,857.58x = 256,123,892.38
  5. Step 5: Solve for x
    x = 256,123,892.38/21,857.58
  6. Step 6: Final answer
    x = 11,717.85

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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.