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Finding the Fourth Proportional to 13,247.78, 18,276.72 and 7,943.12

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Solution

The fourth proportional to 13,247.78, 18,276.72 and 7,943.12 is: 10,958.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,247.78 : 18,276.72 = 7,943.12 : x
  2. Step 2: Convert to fraction form
    13,247.78/18,276.72 = 7,943.12/x
  3. Step 3: Cross multiply
    13,247.78x = 18,276.72 × 7,943.12
  4. Step 4: Simplify right side
    13,247.78x = 145,174,180.17
  5. Step 5: Solve for x
    x = 145,174,180.17/13,247.78
  6. Step 6: Final answer
    x = 10,958.38

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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.