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Finding the Fourth Proportional to 22,983.28, 34,446.18 and 9,820.24

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Solution

The fourth proportional to 22,983.28, 34,446.18 and 9,820.24 is: 14,718.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,983.28 : 34,446.18 = 9,820.24 : x
  2. Step 2: Convert to fraction form
    22,983.28/34,446.18 = 9,820.24/x
  3. Step 3: Cross multiply
    22,983.28x = 34,446.18 × 9,820.24
  4. Step 4: Simplify right side
    22,983.28x = 338,269,754.68
  5. Step 5: Solve for x
    x = 338,269,754.68/22,983.28
  6. Step 6: Final answer
    x = 14,718.08

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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.