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Finding the Fourth Proportional to 14,846.70, 22,234.05 and 7,905.90

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Solution

The fourth proportional to 14,846.70, 22,234.05 and 7,905.90 is: 11,839.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,846.70 : 22,234.05 = 7,905.90 : x
  2. Step 2: Convert to fraction form
    14,846.70/22,234.05 = 7,905.90/x
  3. Step 3: Cross multiply
    14,846.70x = 22,234.05 × 7,905.90
  4. Step 4: Simplify right side
    14,846.70x = 175,780,175.90
  5. Step 5: Solve for x
    x = 175,780,175.90/14,846.70
  6. Step 6: Final answer
    x = 11,839.68

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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.