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Finding the Fourth Proportional to 20,695.25, 31,052.01 and 6,844.25

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Solution

The fourth proportional to 20,695.25, 31,052.01 and 6,844.25 is: 10,269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,695.25 : 31,052.01 = 6,844.25 : x
  2. Step 2: Convert to fraction form
    20,695.25/31,052.01 = 6,844.25/x
  3. Step 3: Cross multiply
    20,695.25x = 31,052.01 × 6,844.25
  4. Step 4: Simplify right side
    20,695.25x = 212,527,719.44
  5. Step 5: Solve for x
    x = 212,527,719.44/20,695.25
  6. Step 6: Final answer
    x = 10,269.40

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Why These Related Problems?

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