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Finding the Fourth Proportional to 20,804.77, 31,210.49 and 6,763.72

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Solution

The fourth proportional to 20,804.77, 31,210.49 and 6,763.72 is: 10,146.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,804.77 : 31,210.49 = 6,763.72 : x
  2. Step 2: Convert to fraction form
    20,804.77/31,210.49 = 6,763.72/x
  3. Step 3: Cross multiply
    20,804.77x = 31,210.49 × 6,763.72
  4. Step 4: Simplify right side
    20,804.77x = 211,098,993.80
  5. Step 5: Solve for x
    x = 211,098,993.80/20,804.77
  6. Step 6: Final answer
    x = 10,146.66

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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.