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Finding the Fourth Proportional to 17,143.11, 25,693.47 and 10,116

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Solution

The fourth proportional to 17,143.11, 25,693.47 and 10,116 is: 15,161.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,143.11 : 25,693.47 = 10,116 : x
  2. Step 2: Convert to fraction form
    17,143.11/25,693.47 = 10,116/x
  3. Step 3: Cross multiply
    17,143.11x = 25,693.47 × 10,116
  4. Step 4: Simplify right side
    17,143.11x = 259,915,142.52
  5. Step 5: Solve for x
    x = 259,915,142.52/17,143.11
  6. Step 6: Final answer
    x = 15,161.49

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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.