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Finding the Fourth Proportional to 23,030.91, 34,553.66 and 8,239.50

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Solution

The fourth proportional to 23,030.91, 34,553.66 and 8,239.50 is: 12,361.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,030.91 : 34,553.66 = 8,239.50 : x
  2. Step 2: Convert to fraction form
    23,030.91/34,553.66 = 8,239.50/x
  3. Step 3: Cross multiply
    23,030.91x = 34,553.66 × 8,239.50
  4. Step 4: Simplify right side
    23,030.91x = 284,704,840.37
  5. Step 5: Solve for x
    x = 284,704,840.37/23,030.91
  6. Step 6: Final answer
    x = 12,361.86

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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.