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Finding the Fourth Proportional to 20,713.56, 31,070.70 and 6,862.92

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Solution

The fourth proportional to 20,713.56, 31,070.70 and 6,862.92 is: 10,294.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,713.56 : 31,070.70 = 6,862.92 : x
  2. Step 2: Convert to fraction form
    20,713.56/31,070.70 = 6,862.92/x
  3. Step 3: Cross multiply
    20,713.56x = 31,070.70 × 6,862.92
  4. Step 4: Simplify right side
    20,713.56x = 213,235,728.44
  5. Step 5: Solve for x
    x = 213,235,728.44/20,713.56
  6. Step 6: Final answer
    x = 10,294.50

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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.