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Finding the Fourth Proportional to 14,857.83, 20,503.26 and 8,143.38

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Solution

The fourth proportional to 14,857.83, 20,503.26 and 8,143.38 is: 11,237.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,857.83 : 20,503.26 = 8,143.38 : x
  2. Step 2: Convert to fraction form
    14,857.83/20,503.26 = 8,143.38/x
  3. Step 3: Cross multiply
    14,857.83x = 20,503.26 × 8,143.38
  4. Step 4: Simplify right side
    14,857.83x = 166,965,837.42
  5. Step 5: Solve for x
    x = 166,965,837.42/14,857.83
  6. Step 6: Final answer
    x = 11,237.57

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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.