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Finding the Fourth Proportional to 20,198.84, 27,870.17 and 11,700.45

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Solution

The fourth proportional to 20,198.84, 27,870.17 and 11,700.45 is: 16,144.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.84 : 27,870.17 = 11,700.45 : x
  2. Step 2: Convert to fraction form
    20,198.84/27,870.17 = 11,700.45/x
  3. Step 3: Cross multiply
    20,198.84x = 27,870.17 × 11,700.45
  4. Step 4: Simplify right side
    20,198.84x = 326,093,472.07
  5. Step 5: Solve for x
    x = 326,093,472.07/20,198.84
  6. Step 6: Final answer
    x = 16,144.17

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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.