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Finding the Fourth Proportional to 16,469.70, 24,707.73 and 11,987.94

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Solution

The fourth proportional to 16,469.70, 24,707.73 and 11,987.94 is: 17,984.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,469.70 : 24,707.73 = 11,987.94 : x
  2. Step 2: Convert to fraction form
    16,469.70/24,707.73 = 11,987.94/x
  3. Step 3: Cross multiply
    16,469.70x = 24,707.73 × 11,987.94
  4. Step 4: Simplify right side
    16,469.70x = 296,194,784.78
  5. Step 5: Solve for x
    x = 296,194,784.78/16,469.70
  6. Step 6: Final answer
    x = 17,984.22

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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.