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Finding the Fourth Proportional to 20,080.99, 27,724.77 and 12,914.14

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Solution

The fourth proportional to 20,080.99, 27,724.77 and 12,914.14 is: 17,829.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,080.99 : 27,724.77 = 12,914.14 : x
  2. Step 2: Convert to fraction form
    20,080.99/27,724.77 = 12,914.14/x
  3. Step 3: Cross multiply
    20,080.99x = 27,724.77 × 12,914.14
  4. Step 4: Simplify right side
    20,080.99x = 358,041,561.25
  5. Step 5: Solve for x
    x = 358,041,561.25/20,080.99
  6. Step 6: Final answer
    x = 17,829.88

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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.