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Finding the Fourth Proportional to 23,133.84, 34,720.20 and 9,996.24

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Solution

The fourth proportional to 23,133.84, 34,720.20 and 9,996.24 is: 15,002.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,133.84 : 34,720.20 = 9,996.24 : x
  2. Step 2: Convert to fraction form
    23,133.84/34,720.20 = 9,996.24/x
  3. Step 3: Cross multiply
    23,133.84x = 34,720.20 × 9,996.24
  4. Step 4: Simplify right side
    23,133.84x = 347,071,452.05
  5. Step 5: Solve for x
    x = 347,071,452.05/23,133.84
  6. Step 6: Final answer
    x = 15,002.76

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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.