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Finding the Fourth Proportional to 15,976.37, 22,047.66 and 8,902.78

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Solution

The fourth proportional to 15,976.37, 22,047.66 and 8,902.78 is: 12,285.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,976.37 : 22,047.66 = 8,902.78 : x
  2. Step 2: Convert to fraction form
    15,976.37/22,047.66 = 8,902.78/x
  3. Step 3: Cross multiply
    15,976.37x = 22,047.66 × 8,902.78
  4. Step 4: Simplify right side
    15,976.37x = 196,285,411.38
  5. Step 5: Solve for x
    x = 196,285,411.38/15,976.37
  6. Step 6: Final answer
    x = 12,285.98

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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.