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Finding the Fourth Proportional to 16,773.42, 23,146.38 and 9,218.28

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Solution

The fourth proportional to 16,773.42, 23,146.38 and 9,218.28 is: 12,720.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,773.42 : 23,146.38 = 9,218.28 : x
  2. Step 2: Convert to fraction form
    16,773.42/23,146.38 = 9,218.28/x
  3. Step 3: Cross multiply
    16,773.42x = 23,146.38 × 9,218.28
  4. Step 4: Simplify right side
    16,773.42x = 213,369,811.83
  5. Step 5: Solve for x
    x = 213,369,811.83/16,773.42
  6. Step 6: Final answer
    x = 12,720.71

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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.