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Finding the Fourth Proportional to 16,833.44, 23,229.10 and 9,279.38

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Solution

The fourth proportional to 16,833.44, 23,229.10 and 9,279.38 is: 12,804.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,833.44 : 23,229.10 = 9,279.38 : x
  2. Step 2: Convert to fraction form
    16,833.44/23,229.10 = 9,279.38/x
  3. Step 3: Cross multiply
    16,833.44x = 23,229.10 × 9,279.38
  4. Step 4: Simplify right side
    16,833.44x = 215,551,547.25
  5. Step 5: Solve for x
    x = 215,551,547.25/16,833.44
  6. Step 6: Final answer
    x = 12,804.96

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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.