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Finding the Fourth Proportional to 15,143.13, 20,897.51 and 8,519.13

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Solution

The fourth proportional to 15,143.13, 20,897.51 and 8,519.13 is: 11,756.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,143.13 : 20,897.51 = 8,519.13 : x
  2. Step 2: Convert to fraction form
    15,143.13/20,897.51 = 8,519.13/x
  3. Step 3: Cross multiply
    15,143.13x = 20,897.51 × 8,519.13
  4. Step 4: Simplify right side
    15,143.13x = 178,028,604.37
  5. Step 5: Solve for x
    x = 178,028,604.37/15,143.13
  6. Step 6: Final answer
    x = 11,756.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.