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Finding the Fourth Proportional to 16,238.89, 22,409.74 and 8,786.89

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Solution

The fourth proportional to 16,238.89, 22,409.74 and 8,786.89 is: 12,125.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.89 : 22,409.74 = 8,786.89 : x
  2. Step 2: Convert to fraction form
    16,238.89/22,409.74 = 8,786.89/x
  3. Step 3: Cross multiply
    16,238.89x = 22,409.74 × 8,786.89
  4. Step 4: Simplify right side
    16,238.89x = 196,911,876.37
  5. Step 5: Solve for x
    x = 196,911,876.37/16,238.89
  6. Step 6: Final answer
    x = 12,125.94

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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.