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Finding the Fourth Proportional to 21,857.36, 32,778.01 and 7,813.60

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Solution

The fourth proportional to 21,857.36, 32,778.01 and 7,813.60 is: 11,717.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,857.36 : 32,778.01 = 7,813.60 : x
  2. Step 2: Convert to fraction form
    21,857.36/32,778.01 = 7,813.60/x
  3. Step 3: Cross multiply
    21,857.36x = 32,778.01 × 7,813.60
  4. Step 4: Simplify right side
    21,857.36x = 256,114,258.94
  5. Step 5: Solve for x
    x = 256,114,258.94/21,857.36
  6. Step 6: Final answer
    x = 11,717.53

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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.