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Finding the Fourth Proportional to 20,940.34, 31,405.65 and 6,145.29

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Solution

The fourth proportional to 20,940.34, 31,405.65 and 6,145.29 is: 9,216.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,940.34 : 31,405.65 = 6,145.29 : x
  2. Step 2: Convert to fraction form
    20,940.34/31,405.65 = 6,145.29/x
  3. Step 3: Cross multiply
    20,940.34x = 31,405.65 × 6,145.29
  4. Step 4: Simplify right side
    20,940.34x = 192,996,826.89
  5. Step 5: Solve for x
    x = 192,996,826.89/20,940.34
  6. Step 6: Final answer
    x = 9,216.51

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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.