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Finding the Fourth Proportional to 23,273.92, 34,914.71 and 9,234.01

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Solution

The fourth proportional to 23,273.92, 34,914.71 and 9,234.01 is: 13,852.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,273.92 : 34,914.71 = 9,234.01 : x
  2. Step 2: Convert to fraction form
    23,273.92/34,914.71 = 9,234.01/x
  3. Step 3: Cross multiply
    23,273.92x = 34,914.71 × 9,234.01
  4. Step 4: Simplify right side
    23,273.92x = 322,402,781.29
  5. Step 5: Solve for x
    x = 322,402,781.29/23,273.92
  6. Step 6: Final answer
    x = 13,852.53

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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.