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Finding the Fourth Proportional to 13,367.71, 18,451.55 and 7,706.24

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Solution

The fourth proportional to 13,367.71, 18,451.55 and 7,706.24 is: 10,636.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,367.71 : 18,451.55 = 7,706.24 : x
  2. Step 2: Convert to fraction form
    13,367.71/18,451.55 = 7,706.24/x
  3. Step 3: Cross multiply
    13,367.71x = 18,451.55 × 7,706.24
  4. Step 4: Simplify right side
    13,367.71x = 142,192,072.67
  5. Step 5: Solve for x
    x = 142,192,072.67/13,367.71
  6. Step 6: Final answer
    x = 10,636.98

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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.