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Finding the Fourth Proportional to 11,949.90, 16,494.95 and 7,234.18

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Solution

The fourth proportional to 11,949.90, 16,494.95 and 7,234.18 is: 9,985.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,949.90 : 16,494.95 = 7,234.18 : x
  2. Step 2: Convert to fraction form
    11,949.90/16,494.95 = 7,234.18/x
  3. Step 3: Cross multiply
    11,949.90x = 16,494.95 × 7,234.18
  4. Step 4: Simplify right side
    11,949.90x = 119,327,414.24
  5. Step 5: Solve for x
    x = 119,327,414.24/11,949.90
  6. Step 6: Final answer
    x = 9,985.64

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