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Finding the Fourth Proportional to 20,431.81, 30,632.14 and 10,564.80

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Solution

The fourth proportional to 20,431.81, 30,632.14 and 10,564.80 is: 15,839.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,431.81 : 30,632.14 = 10,564.80 : x
  2. Step 2: Convert to fraction form
    20,431.81/30,632.14 = 10,564.80/x
  3. Step 3: Cross multiply
    20,431.81x = 30,632.14 × 10,564.80
  4. Step 4: Simplify right side
    20,431.81x = 323,622,432.67
  5. Step 5: Solve for x
    x = 323,622,432.67/20,431.81
  6. Step 6: Final answer
    x = 15,839.15

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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.