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Finding the Fourth Proportional to 20,199.36, 27,870.84 and 11,812.08

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Solution

The fourth proportional to 20,199.36, 27,870.84 and 11,812.08 is: 16,298.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.36 : 27,870.84 = 11,812.08 : x
  2. Step 2: Convert to fraction form
    20,199.36/27,870.84 = 11,812.08/x
  3. Step 3: Cross multiply
    20,199.36x = 27,870.84 × 11,812.08
  4. Step 4: Simplify right side
    20,199.36x = 329,212,591.75
  5. Step 5: Solve for x
    x = 329,212,591.75/20,199.36
  6. Step 6: Final answer
    x = 16,298.17

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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.