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Finding the Fourth Proportional to 22,812.54, 34,224.08 and 9,665.43

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Solution

The fourth proportional to 22,812.54, 34,224.08 and 9,665.43 is: 14,500.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,812.54 : 34,224.08 = 9,665.43 : x
  2. Step 2: Convert to fraction form
    22,812.54/34,224.08 = 9,665.43/x
  3. Step 3: Cross multiply
    22,812.54x = 34,224.08 × 9,665.43
  4. Step 4: Simplify right side
    22,812.54x = 330,790,401.23
  5. Step 5: Solve for x
    x = 330,790,401.23/22,812.54
  6. Step 6: Final answer
    x = 14,500.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.