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Finding the Fourth Proportional to 16,102.99, 22,223.41 and 8,933.61

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Solution

The fourth proportional to 16,102.99, 22,223.41 and 8,933.61 is: 12,329.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.99 : 22,223.41 = 8,933.61 : x
  2. Step 2: Convert to fraction form
    16,102.99/22,223.41 = 8,933.61/x
  3. Step 3: Cross multiply
    16,102.99x = 22,223.41 × 8,933.61
  4. Step 4: Simplify right side
    16,102.99x = 198,535,277.81
  5. Step 5: Solve for x
    x = 198,535,277.81/16,102.99
  6. Step 6: Final answer
    x = 12,329.09

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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.