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Finding the Fourth Proportional to 20,262.16, 30,406.81 and 7,114.57

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Solution

The fourth proportional to 20,262.16, 30,406.81 and 7,114.57 is: 10,676.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,262.16 : 30,406.81 = 7,114.57 : x
  2. Step 2: Convert to fraction form
    20,262.16/30,406.81 = 7,114.57/x
  3. Step 3: Cross multiply
    20,262.16x = 30,406.81 × 7,114.57
  4. Step 4: Simplify right side
    20,262.16x = 216,331,378.22
  5. Step 5: Solve for x
    x = 216,331,378.22/20,262.16
  6. Step 6: Final answer
    x = 10,676.62

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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.