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Finding the Fourth Proportional to 16,238.81, 22,409.63 and 8,786.81

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Solution

The fourth proportional to 16,238.81, 22,409.63 and 8,786.81 is: 12,125.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.81 : 22,409.63 = 8,786.81 : x
  2. Step 2: Convert to fraction form
    16,238.81/22,409.63 = 8,786.81/x
  3. Step 3: Cross multiply
    16,238.81x = 22,409.63 × 8,786.81
  4. Step 4: Simplify right side
    16,238.81x = 196,909,206.02
  5. Step 5: Solve for x
    x = 196,909,206.02/16,238.81
  6. Step 6: Final answer
    x = 12,125.84

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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.