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Finding the Fourth Proportional to 12,514.50, 18,766.71 and 4,615.17

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Solution

The fourth proportional to 12,514.50, 18,766.71 and 4,615.17 is: 6,920.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514.50 : 18,766.71 = 4,615.17 : x
  2. Step 2: Convert to fraction form
    12,514.50/18,766.71 = 4,615.17/x
  3. Step 3: Cross multiply
    12,514.50x = 18,766.71 × 4,615.17
  4. Step 4: Simplify right side
    12,514.50x = 86,611,556.99
  5. Step 5: Solve for x
    x = 86,611,556.99/12,514.50
  6. Step 6: Final answer
    x = 6,920.90

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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.