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Finding the Fourth Proportional to 12,123.77, 18,173.47 and 5,105.50

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Solution

The fourth proportional to 12,123.77, 18,173.47 and 5,105.50 is: 7,653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123.77 : 18,173.47 = 5,105.50 : x
  2. Step 2: Convert to fraction form
    12,123.77/18,173.47 = 5,105.50/x
  3. Step 3: Cross multiply
    12,123.77x = 18,173.47 × 5,105.50
  4. Step 4: Simplify right side
    12,123.77x = 92,784,651.09
  5. Step 5: Solve for x
    x = 92,784,651.09/12,123.77
  6. Step 6: Final answer
    x = 7,653.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.