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Finding the Fourth Proportional to 12,097.46, 16,685.97 and 11,106.02

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Solution

The fourth proportional to 12,097.46, 16,685.97 and 11,106.02 is: 15,318.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.46 : 16,685.97 = 11,106.02 : x
  2. Step 2: Convert to fraction form
    12,097.46/16,685.97 = 11,106.02/x
  3. Step 3: Cross multiply
    12,097.46x = 16,685.97 × 11,106.02
  4. Step 4: Simplify right side
    12,097.46x = 185,314,716.54
  5. Step 5: Solve for x
    x = 185,314,716.54/12,097.46
  6. Step 6: Final answer
    x = 15,318.48

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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.