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Finding the Fourth Proportional to 23,924.70, 35,894.70 and 7,287.93

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Solution

The fourth proportional to 23,924.70, 35,894.70 and 7,287.93 is: 10,934.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,924.70 : 35,894.70 = 7,287.93 : x
  2. Step 2: Convert to fraction form
    23,924.70/35,894.70 = 7,287.93/x
  3. Step 3: Cross multiply
    23,924.70x = 35,894.70 × 7,287.93
  4. Step 4: Simplify right side
    23,924.70x = 261,598,060.97
  5. Step 5: Solve for x
    x = 261,598,060.97/23,924.70
  6. Step 6: Final answer
    x = 10,934.23

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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.