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Finding the Fourth Proportional to 20,704.14, 31,055.49 and 6,853.02

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Solution

The fourth proportional to 20,704.14, 31,055.49 and 6,853.02 is: 10,279.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,704.14 : 31,055.49 = 6,853.02 : x
  2. Step 2: Convert to fraction form
    20,704.14/31,055.49 = 6,853.02/x
  3. Step 3: Cross multiply
    20,704.14x = 31,055.49 × 6,853.02
  4. Step 4: Simplify right side
    20,704.14x = 212,823,894.08
  5. Step 5: Solve for x
    x = 212,823,894.08/20,704.14
  6. Step 6: Final answer
    x = 10,279.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.