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Finding the Fourth Proportional to 23,474.63, 35,211.99 and 5,705.30

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Solution

The fourth proportional to 23,474.63, 35,211.99 and 5,705.30 is: 8,557.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,474.63 : 35,211.99 = 5,705.30 : x
  2. Step 2: Convert to fraction form
    23,474.63/35,211.99 = 5,705.30/x
  3. Step 3: Cross multiply
    23,474.63x = 35,211.99 × 5,705.30
  4. Step 4: Simplify right side
    23,474.63x = 200,894,790.49
  5. Step 5: Solve for x
    x = 200,894,790.49/23,474.63
  6. Step 6: Final answer
    x = 8,557.96

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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.