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Finding the Fourth Proportional to 13,336.83, 19,998.63 and 7,791.57

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Solution

The fourth proportional to 13,336.83, 19,998.63 and 7,791.57 is: 11,683.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,336.83 : 19,998.63 = 7,791.57 : x
  2. Step 2: Convert to fraction form
    13,336.83/19,998.63 = 7,791.57/x
  3. Step 3: Cross multiply
    13,336.83x = 19,998.63 × 7,791.57
  4. Step 4: Simplify right side
    13,336.83x = 155,820,725.55
  5. Step 5: Solve for x
    x = 155,820,725.55/13,336.83
  6. Step 6: Final answer
    x = 11,683.49

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Why These Related Problems?

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