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Finding the Fourth Proportional to 12,356.84, 17,052.30 and 6,767.84

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Solution

The fourth proportional to 12,356.84, 17,052.30 and 6,767.84 is: 9,339.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,356.84 : 17,052.30 = 6,767.84 : x
  2. Step 2: Convert to fraction form
    12,356.84/17,052.30 = 6,767.84/x
  3. Step 3: Cross multiply
    12,356.84x = 17,052.30 × 6,767.84
  4. Step 4: Simplify right side
    12,356.84x = 115,407,238.03
  5. Step 5: Solve for x
    x = 115,407,238.03/12,356.84
  6. Step 6: Final answer
    x = 9,339.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.