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Finding the Fourth Proportional to 20,422.19, 30,632.99 and 9,893.14

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Solution

The fourth proportional to 20,422.19, 30,632.99 and 9,893.14 is: 14,839.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,422.19 : 30,632.99 = 9,893.14 : x
  2. Step 2: Convert to fraction form
    20,422.19/30,632.99 = 9,893.14/x
  3. Step 3: Cross multiply
    20,422.19x = 30,632.99 × 9,893.14
  4. Step 4: Simplify right side
    20,422.19x = 303,056,332.64
  5. Step 5: Solve for x
    x = 303,056,332.64/20,422.19
  6. Step 6: Final answer
    x = 14,839.56

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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.