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Finding the Fourth Proportional to 13,163.32, 18,165.87 and 7,195.39

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Solution

The fourth proportional to 13,163.32, 18,165.87 and 7,195.39 is: 9,929.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,163.32 : 18,165.87 = 7,195.39 : x
  2. Step 2: Convert to fraction form
    13,163.32/18,165.87 = 7,195.39/x
  3. Step 3: Cross multiply
    13,163.32x = 18,165.87 × 7,195.39
  4. Step 4: Simplify right side
    13,163.32x = 130,710,519.34
  5. Step 5: Solve for x
    x = 130,710,519.34/13,163.32
  6. Step 6: Final answer
    x = 9,929.91

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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.