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Finding the Fourth Proportional to 14,846.72, 22,270.84 and 3,753.50

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Solution

The fourth proportional to 14,846.72, 22,270.84 and 3,753.50 is: 5,630.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,846.72 : 22,270.84 = 3,753.50 : x
  2. Step 2: Convert to fraction form
    14,846.72/22,270.84 = 3,753.50/x
  3. Step 3: Cross multiply
    14,846.72x = 22,270.84 × 3,753.50
  4. Step 4: Simplify right side
    14,846.72x = 83,593,597.94
  5. Step 5: Solve for x
    x = 83,593,597.94/14,846.72
  6. Step 6: Final answer
    x = 5,630.44

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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.