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Finding the Fourth Proportional to 23,144, 34,717.62 and 9,293

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Solution

The fourth proportional to 23,144, 34,717.62 and 9,293 is: 13,940.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,144 : 34,717.62 = 9,293 : x
  2. Step 2: Convert to fraction form
    23,144/34,717.62 = 9,293/x
  3. Step 3: Cross multiply
    23,144x = 34,717.62 × 9,293
  4. Step 4: Simplify right side
    23,144x = 322,630,842.66
  5. Step 5: Solve for x
    x = 322,630,842.66/23,144
  6. Step 6: Final answer
    x = 13,940.15

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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.