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Finding the Fourth Proportional to 13,112.43, 18,094.50 and 7,143.75

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Solution

The fourth proportional to 13,112.43, 18,094.50 and 7,143.75 is: 9,858.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,112.43 : 18,094.50 = 7,143.75 : x
  2. Step 2: Convert to fraction form
    13,112.43/18,094.50 = 7,143.75/x
  3. Step 3: Cross multiply
    13,112.43x = 18,094.50 × 7,143.75
  4. Step 4: Simplify right side
    13,112.43x = 129,262,584.38
  5. Step 5: Solve for x
    x = 129,262,584.38/13,112.43
  6. Step 6: Final answer
    x = 9,858.02

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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.