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Finding the Fourth Proportional to 23,020.52, 34,530.67 and 6,380.50

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Solution

The fourth proportional to 23,020.52, 34,530.67 and 6,380.50 is: 9,570.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,020.52 : 34,530.67 = 6,380.50 : x
  2. Step 2: Convert to fraction form
    23,020.52/34,530.67 = 6,380.50/x
  3. Step 3: Cross multiply
    23,020.52x = 34,530.67 × 6,380.50
  4. Step 4: Simplify right side
    23,020.52x = 220,322,939.94
  5. Step 5: Solve for x
    x = 220,322,939.94/23,020.52
  6. Step 6: Final answer
    x = 9,570.72

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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.