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Finding the Fourth Proportional to 22,162.60, 33,229.02 and 10,465

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Solution

The fourth proportional to 22,162.60, 33,229.02 and 10,465 is: 15,690.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,162.60 : 33,229.02 = 10,465 : x
  2. Step 2: Convert to fraction form
    22,162.60/33,229.02 = 10,465/x
  3. Step 3: Cross multiply
    22,162.60x = 33,229.02 × 10,465
  4. Step 4: Simplify right side
    22,162.60x = 347,741,694.30
  5. Step 5: Solve for x
    x = 347,741,694.30/22,162.60
  6. Step 6: Final answer
    x = 15,690.47

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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.