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Finding the Fourth Proportional to 20,293.53, 30,442.11 and 9,205.44

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Solution

The fourth proportional to 20,293.53, 30,442.11 and 9,205.44 is: 13,808.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,293.53 : 30,442.11 = 9,205.44 : x
  2. Step 2: Convert to fraction form
    20,293.53/30,442.11 = 9,205.44/x
  3. Step 3: Cross multiply
    20,293.53x = 30,442.11 × 9,205.44
  4. Step 4: Simplify right side
    20,293.53x = 280,233,017.08
  5. Step 5: Solve for x
    x = 280,233,017.08/20,293.53
  6. Step 6: Final answer
    x = 13,808.98

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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.