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Finding the Fourth Proportional to 17,833.98, 26,744.65 and 5,181.10

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Solution

The fourth proportional to 17,833.98, 26,744.65 and 5,181.10 is: 7,769.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,833.98 : 26,744.65 = 5,181.10 : x
  2. Step 2: Convert to fraction form
    17,833.98/26,744.65 = 5,181.10/x
  3. Step 3: Cross multiply
    17,833.98x = 26,744.65 × 5,181.10
  4. Step 4: Simplify right side
    17,833.98x = 138,566,702.35
  5. Step 5: Solve for x
    x = 138,566,702.35/17,833.98
  6. Step 6: Final answer
    x = 7,769.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.