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Finding the Fourth Proportional to 17,778.74, 26,612.16 and 12,199.46

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Solution

The fourth proportional to 17,778.74, 26,612.16 and 12,199.46 is: 18,260.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.74 : 26,612.16 = 12,199.46 : x
  2. Step 2: Convert to fraction form
    17,778.74/26,612.16 = 12,199.46/x
  3. Step 3: Cross multiply
    17,778.74x = 26,612.16 × 12,199.46
  4. Step 4: Simplify right side
    17,778.74x = 324,653,981.43
  5. Step 5: Solve for x
    x = 324,653,981.43/17,778.74
  6. Step 6: Final answer
    x = 18,260.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.