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Finding the Fourth Proportional to 23,816.46, 35,726.04 and 7,178.79

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Solution

The fourth proportional to 23,816.46, 35,726.04 and 7,178.79 is: 10,768.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,816.46 : 35,726.04 = 7,178.79 : x
  2. Step 2: Convert to fraction form
    23,816.46/35,726.04 = 7,178.79/x
  3. Step 3: Cross multiply
    23,816.46x = 35,726.04 × 7,178.79
  4. Step 4: Simplify right side
    23,816.46x = 256,469,738.69
  5. Step 5: Solve for x
    x = 256,469,738.69/23,816.46
  6. Step 6: Final answer
    x = 10,768.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.