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Finding the Fourth Proportional to 13,099.77, 18,077.75 and 7,131.42

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Solution

The fourth proportional to 13,099.77, 18,077.75 and 7,131.42 is: 9,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099.77 : 18,077.75 = 7,131.42 : x
  2. Step 2: Convert to fraction form
    13,099.77/18,077.75 = 7,131.42/x
  3. Step 3: Cross multiply
    13,099.77x = 18,077.75 × 7,131.42
  4. Step 4: Simplify right side
    13,099.77x = 128,919,992.25
  5. Step 5: Solve for x
    x = 128,919,992.25/13,099.77
  6. Step 6: Final answer
    x = 9,841.39

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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.