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Finding the Fourth Proportional to 20,573.97, 30,854.57 and 7,424.63

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Solution

The fourth proportional to 20,573.97, 30,854.57 and 7,424.63 is: 11,134.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,573.97 : 30,854.57 = 7,424.63 : x
  2. Step 2: Convert to fraction form
    20,573.97/30,854.57 = 7,424.63/x
  3. Step 3: Cross multiply
    20,573.97x = 30,854.57 × 7,424.63
  4. Step 4: Simplify right side
    20,573.97x = 229,083,766.06
  5. Step 5: Solve for x
    x = 229,083,766.06/20,573.97
  6. Step 6: Final answer
    x = 11,134.64

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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.