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Finding the Fourth Proportional to 13,516.58, 18,661.65 and 12,097.81

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Solution

The fourth proportional to 13,516.58, 18,661.65 and 12,097.81 is: 16,702.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,516.58 : 18,661.65 = 12,097.81 : x
  2. Step 2: Convert to fraction form
    13,516.58/18,661.65 = 12,097.81/x
  3. Step 3: Cross multiply
    13,516.58x = 18,661.65 × 12,097.81
  4. Step 4: Simplify right side
    13,516.58x = 225,765,095.99
  5. Step 5: Solve for x
    x = 225,765,095.99/13,516.58
  6. Step 6: Final answer
    x = 16,702.83

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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.