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Finding the Fourth Proportional to 17,282.50, 25,929.83 and 8,523.57

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Solution

The fourth proportional to 17,282.50, 25,929.83 and 8,523.57 is: 12,788.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,282.50 : 25,929.83 = 8,523.57 : x
  2. Step 2: Convert to fraction form
    17,282.50/25,929.83 = 8,523.57/x
  3. Step 3: Cross multiply
    17,282.50x = 25,929.83 × 8,523.57
  4. Step 4: Simplify right side
    17,282.50x = 221,014,721.09
  5. Step 5: Solve for x
    x = 221,014,721.09/17,282.50
  6. Step 6: Final answer
    x = 12,788.35

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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.