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Finding the Fourth Proportional to 12,324.63, 18,486.66 and 8,366.01

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Solution

The fourth proportional to 12,324.63, 18,486.66 and 8,366.01 is: 12,548.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,324.63 : 18,486.66 = 8,366.01 : x
  2. Step 2: Convert to fraction form
    12,324.63/18,486.66 = 8,366.01/x
  3. Step 3: Cross multiply
    12,324.63x = 18,486.66 × 8,366.01
  4. Step 4: Simplify right side
    12,324.63x = 154,659,582.43
  5. Step 5: Solve for x
    x = 154,659,582.43/12,324.63
  6. Step 6: Final answer
    x = 12,548.82

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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.