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Finding the Fourth Proportional to 20,032.57, 27,644.11 and 10,957.78

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Solution

The fourth proportional to 20,032.57, 27,644.11 and 10,957.78 is: 15,121.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,032.57 : 27,644.11 = 10,957.78 : x
  2. Step 2: Convert to fraction form
    20,032.57/27,644.11 = 10,957.78/x
  3. Step 3: Cross multiply
    20,032.57x = 27,644.11 × 10,957.78
  4. Step 4: Simplify right side
    20,032.57x = 302,918,075.68
  5. Step 5: Solve for x
    x = 302,918,075.68/20,032.57
  6. Step 6: Final answer
    x = 15,121.28

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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.