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Finding the Fourth Proportional to 17,574.31, 26,370.12 and 8,214.97

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Solution

The fourth proportional to 17,574.31, 26,370.12 and 8,214.97 is: 12,326.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,574.31 : 26,370.12 = 8,214.97 : x
  2. Step 2: Convert to fraction form
    17,574.31/26,370.12 = 8,214.97/x
  3. Step 3: Cross multiply
    17,574.31x = 26,370.12 × 8,214.97
  4. Step 4: Simplify right side
    17,574.31x = 216,629,744.70
  5. Step 5: Solve for x
    x = 216,629,744.70/17,574.31
  6. Step 6: Final answer
    x = 12,326.50

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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.