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Finding the Fourth Proportional to 20,564.80, 28,381.10 and 11,614.48

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Solution

The fourth proportional to 20,564.80, 28,381.10 and 11,614.48 is: 16,028.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,564.80 : 28,381.10 = 11,614.48 : x
  2. Step 2: Convert to fraction form
    20,564.80/28,381.10 = 11,614.48/x
  3. Step 3: Cross multiply
    20,564.80x = 28,381.10 × 11,614.48
  4. Step 4: Simplify right side
    20,564.80x = 329,631,718.33
  5. Step 5: Solve for x
    x = 329,631,718.33/20,564.80
  6. Step 6: Final answer
    x = 16,028.93

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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.