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Finding the Fourth Proportional to 16,106.52, 22,225.86 and 8,936.80

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Solution

The fourth proportional to 16,106.52, 22,225.86 and 8,936.80 is: 12,332.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,106.52 : 22,225.86 = 8,936.80 : x
  2. Step 2: Convert to fraction form
    16,106.52/22,225.86 = 8,936.80/x
  3. Step 3: Cross multiply
    16,106.52x = 22,225.86 × 8,936.80
  4. Step 4: Simplify right side
    16,106.52x = 198,628,065.65
  5. Step 5: Solve for x
    x = 198,628,065.65/16,106.52
  6. Step 6: Final answer
    x = 12,332.15

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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.