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Finding the Fourth Proportional to 12,281.69, 18,422.46 and 3,516.64

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Solution

The fourth proportional to 12,281.69, 18,422.46 and 3,516.64 is: 5,274.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.69 : 18,422.46 = 3,516.64 : x
  2. Step 2: Convert to fraction form
    12,281.69/18,422.46 = 3,516.64/x
  3. Step 3: Cross multiply
    12,281.69x = 18,422.46 × 3,516.64
  4. Step 4: Simplify right side
    12,281.69x = 64,785,113.68
  5. Step 5: Solve for x
    x = 64,785,113.68/12,281.69
  6. Step 6: Final answer
    x = 5,274.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.