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Finding the Fourth Proportional to 23,893.29, 35,838.91 and 7,252.96

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Solution

The fourth proportional to 23,893.29, 35,838.91 and 7,252.96 is: 10,879.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,893.29 : 35,838.91 = 7,252.96 : x
  2. Step 2: Convert to fraction form
    23,893.29/35,838.91 = 7,252.96/x
  3. Step 3: Cross multiply
    23,893.29x = 35,838.91 × 7,252.96
  4. Step 4: Simplify right side
    23,893.29x = 259,938,180.67
  5. Step 5: Solve for x
    x = 259,938,180.67/23,893.29
  6. Step 6: Final answer
    x = 10,879.13

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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.