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Finding the Fourth Proportional to 12,566.36, 18,849.54 and 5,636

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Solution

The fourth proportional to 12,566.36, 18,849.54 and 5,636 is: 8,454

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,566.36 : 18,849.54 = 5,636 : x
  2. Step 2: Convert to fraction form
    12,566.36/18,849.54 = 5,636/x
  3. Step 3: Cross multiply
    12,566.36x = 18,849.54 × 5,636
  4. Step 4: Simplify right side
    12,566.36x = 106,236,007.44
  5. Step 5: Solve for x
    x = 106,236,007.44/12,566.36
  6. Step 6: Final answer
    x = 8,454

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