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Finding the Fourth Proportional to 16,157.28, 22,286.16 and 10,196.58

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Solution

The fourth proportional to 16,157.28, 22,286.16 and 10,196.58 is: 14,064.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,157.28 : 22,286.16 = 10,196.58 : x
  2. Step 2: Convert to fraction form
    16,157.28/22,286.16 = 10,196.58/x
  3. Step 3: Cross multiply
    16,157.28x = 22,286.16 × 10,196.58
  4. Step 4: Simplify right side
    16,157.28x = 227,242,613.33
  5. Step 5: Solve for x
    x = 227,242,613.33/16,157.28
  6. Step 6: Final answer
    x = 14,064.41

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