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Finding the Fourth Proportional to 20,089.51, 27,720.60 and 11,137

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Solution

The fourth proportional to 20,089.51, 27,720.60 and 11,137 is: 15,367.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,089.51 : 27,720.60 = 11,137 : x
  2. Step 2: Convert to fraction form
    20,089.51/27,720.60 = 11,137/x
  3. Step 3: Cross multiply
    20,089.51x = 27,720.60 × 11,137
  4. Step 4: Simplify right side
    20,089.51x = 308,724,322.20
  5. Step 5: Solve for x
    x = 308,724,322.20/20,089.51
  6. Step 6: Final answer
    x = 15,367.44

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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.