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Finding the Fourth Proportional to 30,236.38, 41,724.38 and 16,807.16

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Solution

The fourth proportional to 30,236.38, 41,724.38 and 16,807.16 is: 23,192.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,236.38 : 41,724.38 = 16,807.16 : x
  2. Step 2: Convert to fraction form
    30,236.38/41,724.38 = 16,807.16/x
  3. Step 3: Cross multiply
    30,236.38x = 41,724.38 × 16,807.16
  4. Step 4: Simplify right side
    30,236.38x = 701,268,330.56
  5. Step 5: Solve for x
    x = 701,268,330.56/30,236.38
  6. Step 6: Final answer
    x = 23,192.87

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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.