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Finding the Fourth Proportional to 23,828.70, 35,743.05 and 9,786.34

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Solution

The fourth proportional to 23,828.70, 35,743.05 and 9,786.34 is: 14,679.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,828.70 : 35,743.05 = 9,786.34 : x
  2. Step 2: Convert to fraction form
    23,828.70/35,743.05 = 9,786.34/x
  3. Step 3: Cross multiply
    23,828.70x = 35,743.05 × 9,786.34
  4. Step 4: Simplify right side
    23,828.70x = 349,793,639.94
  5. Step 5: Solve for x
    x = 349,793,639.94/23,828.70
  6. Step 6: Final answer
    x = 14,679.51

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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.