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Finding the Fourth Proportional to 23,300.85, 34,956.54 and 8,509.85

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Solution

The fourth proportional to 23,300.85, 34,956.54 and 8,509.85 is: 12,766.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,300.85 : 34,956.54 = 8,509.85 : x
  2. Step 2: Convert to fraction form
    23,300.85/34,956.54 = 8,509.85/x
  3. Step 3: Cross multiply
    23,300.85x = 34,956.54 × 8,509.85
  4. Step 4: Simplify right side
    23,300.85x = 297,474,737.14
  5. Step 5: Solve for x
    x = 297,474,737.14/23,300.85
  6. Step 6: Final answer
    x = 12,766.69

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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.