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Finding the Fourth Proportional to 20,405.53, 30,614.01 and 7,259.23

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Solution

The fourth proportional to 20,405.53, 30,614.01 and 7,259.23 is: 10,890.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,405.53 : 30,614.01 = 7,259.23 : x
  2. Step 2: Convert to fraction form
    20,405.53/30,614.01 = 7,259.23/x
  3. Step 3: Cross multiply
    20,405.53x = 30,614.01 × 7,259.23
  4. Step 4: Simplify right side
    20,405.53x = 222,234,139.81
  5. Step 5: Solve for x
    x = 222,234,139.81/20,405.53
  6. Step 6: Final answer
    x = 10,890.88

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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.