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Finding the Fourth Proportional to 16,724.33, 23,079.39 and 9,170.64

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Solution

The fourth proportional to 16,724.33, 23,079.39 and 9,170.64 is: 12,655.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,724.33 : 23,079.39 = 9,170.64 : x
  2. Step 2: Convert to fraction form
    16,724.33/23,079.39 = 9,170.64/x
  3. Step 3: Cross multiply
    16,724.33x = 23,079.39 × 9,170.64
  4. Step 4: Simplify right side
    16,724.33x = 211,652,777.11
  5. Step 5: Solve for x
    x = 211,652,777.11/16,724.33
  6. Step 6: Final answer
    x = 12,655.38

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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.