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Finding the Fourth Proportional to 12,813.39, 17,683.11 and 7,148.66

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Solution

The fourth proportional to 12,813.39, 17,683.11 and 7,148.66 is: 9,865.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.39 : 17,683.11 = 7,148.66 : x
  2. Step 2: Convert to fraction form
    12,813.39/17,683.11 = 7,148.66/x
  3. Step 3: Cross multiply
    12,813.39x = 17,683.11 × 7,148.66
  4. Step 4: Simplify right side
    12,813.39x = 126,410,452.72
  5. Step 5: Solve for x
    x = 126,410,452.72/12,813.39
  6. Step 6: Final answer
    x = 9,865.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.