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Finding the Fourth Proportional to 20,665.24, 31,025.40 and 10,812.40

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Solution

The fourth proportional to 20,665.24, 31,025.40 and 10,812.40 is: 16,233.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,665.24 : 31,025.40 = 10,812.40 : x
  2. Step 2: Convert to fraction form
    20,665.24/31,025.40 = 10,812.40/x
  3. Step 3: Cross multiply
    20,665.24x = 31,025.40 × 10,812.40
  4. Step 4: Simplify right side
    20,665.24x = 335,459,034.96
  5. Step 5: Solve for x
    x = 335,459,034.96/20,665.24
  6. Step 6: Final answer
    x = 16,233.01

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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.