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Finding the Fourth Proportional to 23,190.35, 34,764.89 and 8,395.98

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Solution

The fourth proportional to 23,190.35, 34,764.89 and 8,395.98 is: 12,586.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,190.35 : 34,764.89 = 8,395.98 : x
  2. Step 2: Convert to fraction form
    23,190.35/34,764.89 = 8,395.98/x
  3. Step 3: Cross multiply
    23,190.35x = 34,764.89 × 8,395.98
  4. Step 4: Simplify right side
    23,190.35x = 291,885,279.16
  5. Step 5: Solve for x
    x = 291,885,279.16/23,190.35
  6. Step 6: Final answer
    x = 12,586.50

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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.