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Finding the Fourth Proportional to 17,364.74, 26,029.80 and 6,828.17

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Solution

The fourth proportional to 17,364.74, 26,029.80 and 6,828.17 is: 10,235.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,364.74 : 26,029.80 = 6,828.17 : x
  2. Step 2: Convert to fraction form
    17,364.74/26,029.80 = 6,828.17/x
  3. Step 3: Cross multiply
    17,364.74x = 26,029.80 × 6,828.17
  4. Step 4: Simplify right side
    17,364.74x = 177,735,769.32
  5. Step 5: Solve for x
    x = 177,735,769.32/17,364.74
  6. Step 6: Final answer
    x = 10,235.44

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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.