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Finding the Fourth Proportional to 20,194.01, 30,288.86 and 7,046.63

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Solution

The fourth proportional to 20,194.01, 30,288.86 and 7,046.63 is: 10,569.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194.01 : 30,288.86 = 7,046.63 : x
  2. Step 2: Convert to fraction form
    20,194.01/30,288.86 = 7,046.63/x
  3. Step 3: Cross multiply
    20,194.01x = 30,288.86 × 7,046.63
  4. Step 4: Simplify right side
    20,194.01x = 213,434,354.31
  5. Step 5: Solve for x
    x = 213,434,354.31/20,194.01
  6. Step 6: Final answer
    x = 10,569.19

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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.