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Finding the Fourth Proportional to 20,776.40, 31,163.80 and 6,925.40

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Solution

The fourth proportional to 20,776.40, 31,163.80 and 6,925.40 is: 10,387.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,776.40 : 31,163.80 = 6,925.40 : x
  2. Step 2: Convert to fraction form
    20,776.40/31,163.80 = 6,925.40/x
  3. Step 3: Cross multiply
    20,776.40x = 31,163.80 × 6,925.40
  4. Step 4: Simplify right side
    20,776.40x = 215,821,780.52
  5. Step 5: Solve for x
    x = 215,821,780.52/20,776.40
  6. Step 6: Final answer
    x = 10,387.83

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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.