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Finding the Fourth Proportional to 20,301.60, 30,419.46 and 10,427.16

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Solution

The fourth proportional to 20,301.60, 30,419.46 and 10,427.16 is: 15,623.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,301.60 : 30,419.46 = 10,427.16 : x
  2. Step 2: Convert to fraction form
    20,301.60/30,419.46 = 10,427.16/x
  3. Step 3: Cross multiply
    20,301.60x = 30,419.46 × 10,427.16
  4. Step 4: Simplify right side
    20,301.60x = 317,188,576.53
  5. Step 5: Solve for x
    x = 317,188,576.53/20,301.60
  6. Step 6: Final answer
    x = 15,623.82

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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.