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Finding the Fourth Proportional to 13,616.90, 18,794.25 and 8,310.58

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Solution

The fourth proportional to 13,616.90, 18,794.25 and 8,310.58 is: 11,470.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616.90 : 18,794.25 = 8,310.58 : x
  2. Step 2: Convert to fraction form
    13,616.90/18,794.25 = 8,310.58/x
  3. Step 3: Cross multiply
    13,616.90x = 18,794.25 × 8,310.58
  4. Step 4: Simplify right side
    13,616.90x = 156,191,118.17
  5. Step 5: Solve for x
    x = 156,191,118.17/13,616.90
  6. Step 6: Final answer
    x = 11,470.39

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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.