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Finding the Fourth Proportional to 12,416.22, 17,138.79 and 8,225.82

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Solution

The fourth proportional to 12,416.22, 17,138.79 and 8,225.82 is: 11,354.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.22 : 17,138.79 = 8,225.82 : x
  2. Step 2: Convert to fraction form
    12,416.22/17,138.79 = 8,225.82/x
  3. Step 3: Cross multiply
    12,416.22x = 17,138.79 × 8,225.82
  4. Step 4: Simplify right side
    12,416.22x = 140,980,601.56
  5. Step 5: Solve for x
    x = 140,980,601.56/12,416.22
  6. Step 6: Final answer
    x = 11,354.55

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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.