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Finding the Fourth Proportional to 20,905.55, 31,358.31 and 9,049.61

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Solution

The fourth proportional to 20,905.55, 31,358.31 and 9,049.61 is: 13,574.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,905.55 : 31,358.31 = 9,049.61 : x
  2. Step 2: Convert to fraction form
    20,905.55/31,358.31 = 9,049.61/x
  3. Step 3: Cross multiply
    20,905.55x = 31,358.31 × 9,049.61
  4. Step 4: Simplify right side
    20,905.55x = 283,780,520.22
  5. Step 5: Solve for x
    x = 283,780,520.22/20,905.55
  6. Step 6: Final answer
    x = 13,574.41

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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.