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Finding the Fourth Proportional to 17,842.70, 26,764.05 and 5,364.65

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Solution

The fourth proportional to 17,842.70, 26,764.05 and 5,364.65 is: 8,046.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.70 : 26,764.05 = 5,364.65 : x
  2. Step 2: Convert to fraction form
    17,842.70/26,764.05 = 5,364.65/x
  3. Step 3: Cross multiply
    17,842.70x = 26,764.05 × 5,364.65
  4. Step 4: Simplify right side
    17,842.70x = 143,579,760.83
  5. Step 5: Solve for x
    x = 143,579,760.83/17,842.70
  6. Step 6: Final answer
    x = 8,046.98

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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.