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Finding the Fourth Proportional to 12,342.84, 17,033.04 and 6,677.57

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Solution

The fourth proportional to 12,342.84, 17,033.04 and 6,677.57 is: 9,214.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,342.84 : 17,033.04 = 6,677.57 : x
  2. Step 2: Convert to fraction form
    12,342.84/17,033.04 = 6,677.57/x
  3. Step 3: Cross multiply
    12,342.84x = 17,033.04 × 6,677.57
  4. Step 4: Simplify right side
    12,342.84x = 113,739,198.36
  5. Step 5: Solve for x
    x = 113,739,198.36/12,342.84
  6. Step 6: Final answer
    x = 9,214.99

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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.