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Finding the Fourth Proportional to 13,099.76, 18,083.86 and 8,386.76

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Solution

The fourth proportional to 13,099.76, 18,083.86 and 8,386.76 is: 11,577.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099.76 : 18,083.86 = 8,386.76 : x
  2. Step 2: Convert to fraction form
    13,099.76/18,083.86 = 8,386.76/x
  3. Step 3: Cross multiply
    13,099.76x = 18,083.86 × 8,386.76
  4. Step 4: Simplify right side
    13,099.76x = 151,664,993.69
  5. Step 5: Solve for x
    x = 151,664,993.69/13,099.76
  6. Step 6: Final answer
    x = 11,577.69

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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.