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Finding the Fourth Proportional to 13,500, 18,630 and 8,193.83

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Solution

The fourth proportional to 13,500, 18,630 and 8,193.83 is: 11,307.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,500 : 18,630 = 8,193.83 : x
  2. Step 2: Convert to fraction form
    13,500/18,630 = 8,193.83/x
  3. Step 3: Cross multiply
    13,500x = 18,630 × 8,193.83
  4. Step 4: Simplify right side
    13,500x = 152,650,959.75
  5. Step 5: Solve for x
    x = 152,650,959.75/13,500
  6. Step 6: Final answer
    x = 11,307.48

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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.