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Finding the Fourth Proportional to 20,120.52, 27,765.90 and 11,167.50

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Solution

The fourth proportional to 20,120.52, 27,765.90 and 11,167.50 is: 15,410.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,120.52 : 27,765.90 = 11,167.50 : x
  2. Step 2: Convert to fraction form
    20,120.52/27,765.90 = 11,167.50/x
  3. Step 3: Cross multiply
    20,120.52x = 27,765.90 × 11,167.50
  4. Step 4: Simplify right side
    20,120.52x = 310,075,688.25
  5. Step 5: Solve for x
    x = 310,075,688.25/20,120.52
  6. Step 6: Final answer
    x = 15,410.92

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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.