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Finding the Fourth Proportional to 20,591.06, 30,862.73 and 9,474.42

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Solution

The fourth proportional to 20,591.06, 30,862.73 and 9,474.42 is: 14,200.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,591.06 : 30,862.73 = 9,474.42 : x
  2. Step 2: Convert to fraction form
    20,591.06/30,862.73 = 9,474.42/x
  3. Step 3: Cross multiply
    20,591.06x = 30,862.73 × 9,474.42
  4. Step 4: Simplify right side
    20,591.06x = 292,406,466.37
  5. Step 5: Solve for x
    x = 292,406,466.37/20,591.06
  6. Step 6: Final answer
    x = 14,200.65

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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.