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Finding the Fourth Proportional to 23,625.82, 35,439.72 and 8,833.24

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Solution

The fourth proportional to 23,625.82, 35,439.72 and 8,833.24 is: 13,250.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,625.82 : 35,439.72 = 8,833.24 : x
  2. Step 2: Convert to fraction form
    23,625.82/35,439.72 = 8,833.24/x
  3. Step 3: Cross multiply
    23,625.82x = 35,439.72 × 8,833.24
  4. Step 4: Simplify right side
    23,625.82x = 313,047,552.29
  5. Step 5: Solve for x
    x = 313,047,552.29/23,625.82
  6. Step 6: Final answer
    x = 13,250.23

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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.