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Finding the Fourth Proportional to 17,842.50, 26,765.40 and 4,694.94

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Solution

The fourth proportional to 17,842.50, 26,765.40 and 4,694.94 is: 7,042.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.50 : 26,765.40 = 4,694.94 : x
  2. Step 2: Convert to fraction form
    17,842.50/26,765.40 = 4,694.94/x
  3. Step 3: Cross multiply
    17,842.50x = 26,765.40 × 4,694.94
  4. Step 4: Simplify right side
    17,842.50x = 125,661,947.08
  5. Step 5: Solve for x
    x = 125,661,947.08/17,842.50
  6. Step 6: Final answer
    x = 7,042.84

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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.