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Finding the Fourth Proportional to 13,099.92, 18,078.28 and 7,131.24

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Solution

The fourth proportional to 13,099.92, 18,078.28 and 7,131.24 is: 9,841.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099.92 : 18,078.28 = 7,131.24 : x
  2. Step 2: Convert to fraction form
    13,099.92/18,078.28 = 7,131.24/x
  3. Step 3: Cross multiply
    13,099.92x = 18,078.28 × 7,131.24
  4. Step 4: Simplify right side
    13,099.92x = 128,920,553.47
  5. Step 5: Solve for x
    x = 128,920,553.47/13,099.92
  6. Step 6: Final answer
    x = 9,841.32

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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.