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Finding the Fourth Proportional to 16,048.92, 22,147.34 and 8,975.38

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Solution

The fourth proportional to 16,048.92, 22,147.34 and 8,975.38 is: 12,385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,048.92 : 22,147.34 = 8,975.38 : x
  2. Step 2: Convert to fraction form
    16,048.92/22,147.34 = 8,975.38/x
  3. Step 3: Cross multiply
    16,048.92x = 22,147.34 × 8,975.38
  4. Step 4: Simplify right side
    16,048.92x = 198,780,792.49
  5. Step 5: Solve for x
    x = 198,780,792.49/16,048.92
  6. Step 6: Final answer
    x = 12,385.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.