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Finding the Fourth Proportional to 16,006.20, 23,997.78 and 7,117.08

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Solution

The fourth proportional to 16,006.20, 23,997.78 and 7,117.08 is: 10,670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006.20 : 23,997.78 = 7,117.08 : x
  2. Step 2: Convert to fraction form
    16,006.20/23,997.78 = 7,117.08/x
  3. Step 3: Cross multiply
    16,006.20x = 23,997.78 × 7,117.08
  4. Step 4: Simplify right side
    16,006.20x = 170,794,120.08
  5. Step 5: Solve for x
    x = 170,794,120.08/16,006.20
  6. Step 6: Final answer
    x = 10,670.50

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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.