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Finding the Fourth Proportional to 12,106.18, 16,704.39 and 7,391.98

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Solution

The fourth proportional to 12,106.18, 16,704.39 and 7,391.98 is: 10,199.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.18 : 16,704.39 = 7,391.98 : x
  2. Step 2: Convert to fraction form
    12,106.18/16,704.39 = 7,391.98/x
  3. Step 3: Cross multiply
    12,106.18x = 16,704.39 × 7,391.98
  4. Step 4: Simplify right side
    12,106.18x = 123,478,516.79
  5. Step 5: Solve for x
    x = 123,478,516.79/12,106.18
  6. Step 6: Final answer
    x = 10,199.63

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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.