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Finding the Fourth Proportional to 16,106.81, 22,222.83 and 10,441.80

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Solution

The fourth proportional to 16,106.81, 22,222.83 and 10,441.80 is: 14,406.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,106.81 : 22,222.83 = 10,441.80 : x
  2. Step 2: Convert to fraction form
    16,106.81/22,222.83 = 10,441.80/x
  3. Step 3: Cross multiply
    16,106.81x = 22,222.83 × 10,441.80
  4. Step 4: Simplify right side
    16,106.81x = 232,046,346.29
  5. Step 5: Solve for x
    x = 232,046,346.29/16,106.81
  6. Step 6: Final answer
    x = 14,406.73

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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.