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Finding the Fourth Proportional to 21,194.13, 31,794.71 and 7,155.48

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Solution

The fourth proportional to 21,194.13, 31,794.71 and 7,155.48 is: 10,734.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,194.13 : 31,794.71 = 7,155.48 : x
  2. Step 2: Convert to fraction form
    21,194.13/31,794.71 = 7,155.48/x
  3. Step 3: Cross multiply
    21,194.13x = 31,794.71 × 7,155.48
  4. Step 4: Simplify right side
    21,194.13x = 227,506,375.73
  5. Step 5: Solve for x
    x = 227,506,375.73/21,194.13
  6. Step 6: Final answer
    x = 10,734.41

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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.