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Finding the Fourth Proportional to 21,813.28, 32,726.48 and 7,771.47

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Solution

The fourth proportional to 21,813.28, 32,726.48 and 7,771.47 is: 11,659.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,813.28 : 32,726.48 = 7,771.47 : x
  2. Step 2: Convert to fraction form
    21,813.28/32,726.48 = 7,771.47/x
  3. Step 3: Cross multiply
    21,813.28x = 32,726.48 × 7,771.47
  4. Step 4: Simplify right side
    21,813.28x = 254,332,857.53
  5. Step 5: Solve for x
    x = 254,332,857.53/21,813.28
  6. Step 6: Final answer
    x = 11,659.54

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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.