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Finding the Fourth Proportional to 13,099.96, 18,078.12 and 7,131.76

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Solution

The fourth proportional to 13,099.96, 18,078.12 and 7,131.76 is: 9,841.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099.96 : 18,078.12 = 7,131.76 : x
  2. Step 2: Convert to fraction form
    13,099.96/18,078.12 = 7,131.76/x
  3. Step 3: Cross multiply
    13,099.96x = 18,078.12 × 7,131.76
  4. Step 4: Simplify right side
    13,099.96x = 128,928,813.09
  5. Step 5: Solve for x
    x = 128,928,813.09/13,099.96
  6. Step 6: Final answer
    x = 9,841.92

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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.