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Finding the Fourth Proportional to 16,635.96, 22,955.46 and 9,922.38

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Solution

The fourth proportional to 16,635.96, 22,955.46 and 9,922.38 is: 13,691.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,635.96 : 22,955.46 = 9,922.38 : x
  2. Step 2: Convert to fraction form
    16,635.96/22,955.46 = 9,922.38/x
  3. Step 3: Cross multiply
    16,635.96x = 22,955.46 × 9,922.38
  4. Step 4: Simplify right side
    16,635.96x = 227,772,797.19
  5. Step 5: Solve for x
    x = 227,772,797.19/16,635.96
  6. Step 6: Final answer
    x = 13,691.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.