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Finding the Fourth Proportional to 23,426, 35,138.28 and 6,786.44

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Solution

The fourth proportional to 23,426, 35,138.28 and 6,786.44 is: 10,179.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,426 : 35,138.28 = 6,786.44 : x
  2. Step 2: Convert to fraction form
    23,426/35,138.28 = 6,786.44/x
  3. Step 3: Cross multiply
    23,426x = 35,138.28 × 6,786.44
  4. Step 4: Simplify right side
    23,426x = 238,463,828.92
  5. Step 5: Solve for x
    x = 238,463,828.92/23,426
  6. Step 6: Final answer
    x = 10,179.45

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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.