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Finding the Fourth Proportional to 20,084.54, 27,716.19 and 11,700.50

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Solution

The fourth proportional to 20,084.54, 27,716.19 and 11,700.50 is: 16,146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,084.54 : 27,716.19 = 11,700.50 : x
  2. Step 2: Convert to fraction form
    20,084.54/27,716.19 = 11,700.50/x
  3. Step 3: Cross multiply
    20,084.54x = 27,716.19 × 11,700.50
  4. Step 4: Simplify right side
    20,084.54x = 324,293,281.10
  5. Step 5: Solve for x
    x = 324,293,281.10/20,084.54
  6. Step 6: Final answer
    x = 16,146.41

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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.