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Finding the Fourth Proportional to 23,406, 35,111.97 and 8,625.23

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Solution

The fourth proportional to 23,406, 35,111.97 and 8,625.23 is: 12,938.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,406 : 35,111.97 = 8,625.23 : x
  2. Step 2: Convert to fraction form
    23,406/35,111.97 = 8,625.23/x
  3. Step 3: Cross multiply
    23,406x = 35,111.97 × 8,625.23
  4. Step 4: Simplify right side
    23,406x = 302,848,641.44
  5. Step 5: Solve for x
    x = 302,848,641.44/23,406
  6. Step 6: Final answer
    x = 12,938.93

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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.