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Finding the Fourth Proportional to 13,234.38, 18,271.99 and 8,203.95

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Solution

The fourth proportional to 13,234.38, 18,271.99 and 8,203.95 is: 11,326.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,234.38 : 18,271.99 = 8,203.95 : x
  2. Step 2: Convert to fraction form
    13,234.38/18,271.99 = 8,203.95/x
  3. Step 3: Cross multiply
    13,234.38x = 18,271.99 × 8,203.95
  4. Step 4: Simplify right side
    13,234.38x = 149,902,492.36
  5. Step 5: Solve for x
    x = 149,902,492.36/13,234.38
  6. Step 6: Final answer
    x = 11,326.75

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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.