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Finding the Fourth Proportional to 13,138.54, 18,100.38 and 9,152.44

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Solution

The fourth proportional to 13,138.54, 18,100.38 and 9,152.44 is: 12,608.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.54 : 18,100.38 = 9,152.44 : x
  2. Step 2: Convert to fraction form
    13,138.54/18,100.38 = 9,152.44/x
  3. Step 3: Cross multiply
    13,138.54x = 18,100.38 × 9,152.44
  4. Step 4: Simplify right side
    13,138.54x = 165,662,641.93
  5. Step 5: Solve for x
    x = 165,662,641.93/13,138.54
  6. Step 6: Final answer
    x = 12,608.91

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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.