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Finding the Fourth Proportional to 12,312.86, 18,469.58 and 3,992.94

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Solution

The fourth proportional to 12,312.86, 18,469.58 and 3,992.94 is: 5,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312.86 : 18,469.58 = 3,992.94 : x
  2. Step 2: Convert to fraction form
    12,312.86/18,469.58 = 3,992.94/x
  3. Step 3: Cross multiply
    12,312.86x = 18,469.58 × 3,992.94
  4. Step 4: Simplify right side
    12,312.86x = 73,747,904.80
  5. Step 5: Solve for x
    x = 73,747,904.80/12,312.86
  6. Step 6: Final answer
    x = 5,989.50

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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.