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Finding the Fourth Proportional to 23,252.26, 34,878.08 and 5,722.24

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Solution

The fourth proportional to 23,252.26, 34,878.08 and 5,722.24 is: 8,583.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,252.26 : 34,878.08 = 5,722.24 : x
  2. Step 2: Convert to fraction form
    23,252.26/34,878.08 = 5,722.24/x
  3. Step 3: Cross multiply
    23,252.26x = 34,878.08 × 5,722.24
  4. Step 4: Simplify right side
    23,252.26x = 199,580,744.50
  5. Step 5: Solve for x
    x = 199,580,744.50/23,252.26
  6. Step 6: Final answer
    x = 8,583.28

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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.