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Finding the Fourth Proportional to 12,166, 18,250.17 and 5,594.02

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Solution

The fourth proportional to 12,166, 18,250.17 and 5,594.02 is: 8,391.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166 : 18,250.17 = 5,594.02 : x
  2. Step 2: Convert to fraction form
    12,166/18,250.17 = 5,594.02/x
  3. Step 3: Cross multiply
    12,166x = 18,250.17 × 5,594.02
  4. Step 4: Simplify right side
    12,166x = 102,091,815.98
  5. Step 5: Solve for x
    x = 102,091,815.98/12,166
  6. Step 6: Final answer
    x = 8,391.57

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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.