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Finding the Fourth Proportional to 13,143.30, 18,131.22 and 7,834.38

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Solution

The fourth proportional to 13,143.30, 18,131.22 and 7,834.38 is: 10,807.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,143.30 : 18,131.22 = 7,834.38 : x
  2. Step 2: Convert to fraction form
    13,143.30/18,131.22 = 7,834.38/x
  3. Step 3: Cross multiply
    13,143.30x = 18,131.22 × 7,834.38
  4. Step 4: Simplify right side
    13,143.30x = 142,046,867.34
  5. Step 5: Solve for x
    x = 142,046,867.34/13,143.30
  6. Step 6: Final answer
    x = 10,807.55

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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.