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Finding the Fourth Proportional to 21,728.25, 29,986.81 and 13,767.57

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Solution

The fourth proportional to 21,728.25, 29,986.81 and 13,767.57 is: 19,000.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,728.25 : 29,986.81 = 13,767.57 : x
  2. Step 2: Convert to fraction form
    21,728.25/29,986.81 = 13,767.57/x
  3. Step 3: Cross multiply
    21,728.25x = 29,986.81 × 13,767.57
  4. Step 4: Simplify right side
    21,728.25x = 412,845,471.33
  5. Step 5: Solve for x
    x = 412,845,471.33/21,728.25
  6. Step 6: Final answer
    x = 19,000.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.