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Finding the Fourth Proportional to 12,392.16, 18,583.18 and 6,149.90

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Solution

The fourth proportional to 12,392.16, 18,583.18 and 6,149.90 is: 9,222.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,392.16 : 18,583.18 = 6,149.90 : x
  2. Step 2: Convert to fraction form
    12,392.16/18,583.18 = 6,149.90/x
  3. Step 3: Cross multiply
    12,392.16x = 18,583.18 × 6,149.90
  4. Step 4: Simplify right side
    12,392.16x = 114,284,698.68
  5. Step 5: Solve for x
    x = 114,284,698.68/12,392.16
  6. Step 6: Final answer
    x = 9,222.34

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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.