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Finding the Fourth Proportional to 17,286.84, 25,929.18 and 8,514

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Solution

The fourth proportional to 17,286.84, 25,929.18 and 8,514 is: 12,770.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,286.84 : 25,929.18 = 8,514 : x
  2. Step 2: Convert to fraction form
    17,286.84/25,929.18 = 8,514/x
  3. Step 3: Cross multiply
    17,286.84x = 25,929.18 × 8,514
  4. Step 4: Simplify right side
    17,286.84x = 220,761,038.52
  5. Step 5: Solve for x
    x = 220,761,038.52/17,286.84
  6. Step 6: Final answer
    x = 12,770.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.