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Finding the Fourth Proportional to 13,099.83, 18,078.14 and 7,131.59

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Solution

The fourth proportional to 13,099.83, 18,078.14 and 7,131.59 is: 9,841.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099.83 : 18,078.14 = 7,131.59 : x
  2. Step 2: Convert to fraction form
    13,099.83/18,078.14 = 7,131.59/x
  3. Step 3: Cross multiply
    13,099.83x = 18,078.14 × 7,131.59
  4. Step 4: Simplify right side
    13,099.83x = 128,925,939.25
  5. Step 5: Solve for x
    x = 128,925,939.25/13,099.83
  6. Step 6: Final answer
    x = 9,841.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.