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Finding the Fourth Proportional to 13,405.12, 18,494.64 and 8,097.92

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Solution

The fourth proportional to 13,405.12, 18,494.64 and 8,097.92 is: 11,172.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.12 : 18,494.64 = 8,097.92 : x
  2. Step 2: Convert to fraction form
    13,405.12/18,494.64 = 8,097.92/x
  3. Step 3: Cross multiply
    13,405.12x = 18,494.64 × 8,097.92
  4. Step 4: Simplify right side
    13,405.12x = 149,768,115.15
  5. Step 5: Solve for x
    x = 149,768,115.15/13,405.12
  6. Step 6: Final answer
    x = 11,172.46

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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.