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Finding the Fourth Proportional to 23,134.44, 34,713.81 and 12,612

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Solution

The fourth proportional to 23,134.44, 34,713.81 and 12,612 is: 18,924.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,134.44 : 34,713.81 = 12,612 : x
  2. Step 2: Convert to fraction form
    23,134.44/34,713.81 = 12,612/x
  3. Step 3: Cross multiply
    23,134.44x = 34,713.81 × 12,612
  4. Step 4: Simplify right side
    23,134.44x = 437,810,571.72
  5. Step 5: Solve for x
    x = 437,810,571.72/23,134.44
  6. Step 6: Final answer
    x = 18,924.62

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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.