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Finding the Fourth Proportional to 12,334.97, 18,499.74 and 3,567.98

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Solution

The fourth proportional to 12,334.97, 18,499.74 and 3,567.98 is: 5,351.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,334.97 : 18,499.74 = 3,567.98 : x
  2. Step 2: Convert to fraction form
    12,334.97/18,499.74 = 3,567.98/x
  3. Step 3: Cross multiply
    12,334.97x = 18,499.74 × 3,567.98
  4. Step 4: Simplify right side
    12,334.97x = 66,006,609.83
  5. Step 5: Solve for x
    x = 66,006,609.83/12,334.97
  6. Step 6: Final answer
    x = 5,351.18

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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.