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Finding the Fourth Proportional to 23,029.32, 34,544.72 and 6,389.52

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Solution

The fourth proportional to 23,029.32, 34,544.72 and 6,389.52 is: 9,584.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,029.32 : 34,544.72 = 6,389.52 : x
  2. Step 2: Convert to fraction form
    23,029.32/34,544.72 = 6,389.52/x
  3. Step 3: Cross multiply
    23,029.32x = 34,544.72 × 6,389.52
  4. Step 4: Simplify right side
    23,029.32x = 220,724,179.33
  5. Step 5: Solve for x
    x = 220,724,179.33/23,029.32
  6. Step 6: Final answer
    x = 9,584.49

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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.