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Finding the Fourth Proportional to 20,776.77, 31,146.63 and 7,626.09

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Solution

The fourth proportional to 20,776.77, 31,146.63 and 7,626.09 is: 11,432.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,776.77 : 31,146.63 = 7,626.09 : x
  2. Step 2: Convert to fraction form
    20,776.77/31,146.63 = 7,626.09/x
  3. Step 3: Cross multiply
    20,776.77x = 31,146.63 × 7,626.09
  4. Step 4: Simplify right side
    20,776.77x = 237,527,003.58
  5. Step 5: Solve for x
    x = 237,527,003.58/20,776.77
  6. Step 6: Final answer
    x = 11,432.34

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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.