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Finding the Fourth Proportional to 23,623.05, 35,409.60 and 7,824

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Solution

The fourth proportional to 23,623.05, 35,409.60 and 7,824 is: 11,727.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,623.05 : 35,409.60 = 7,824 : x
  2. Step 2: Convert to fraction form
    23,623.05/35,409.60 = 7,824/x
  3. Step 3: Cross multiply
    23,623.05x = 35,409.60 × 7,824
  4. Step 4: Simplify right side
    23,623.05x = 277,044,710.40
  5. Step 5: Solve for x
    x = 277,044,710.40/23,623.05
  6. Step 6: Final answer
    x = 11,727.73

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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.