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Finding the Fourth Proportional to 13,930.09, 20,891.84 and 8,309.32

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Solution

The fourth proportional to 13,930.09, 20,891.84 and 8,309.32 is: 12,462.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930.09 : 20,891.84 = 8,309.32 : x
  2. Step 2: Convert to fraction form
    13,930.09/20,891.84 = 8,309.32/x
  3. Step 3: Cross multiply
    13,930.09x = 20,891.84 × 8,309.32
  4. Step 4: Simplify right side
    13,930.09x = 173,596,890.17
  5. Step 5: Solve for x
    x = 173,596,890.17/13,930.09
  6. Step 6: Final answer
    x = 12,462.01

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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.