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Finding the Fourth Proportional to 12,342.90, 17,033.12 and 6,677.63

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Solution

The fourth proportional to 12,342.90, 17,033.12 and 6,677.63 is: 9,215.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,342.90 : 17,033.12 = 6,677.63 : x
  2. Step 2: Convert to fraction form
    12,342.90/17,033.12 = 6,677.63/x
  3. Step 3: Cross multiply
    12,342.90x = 17,033.12 × 6,677.63
  4. Step 4: Simplify right side
    12,342.90x = 113,740,787.94
  5. Step 5: Solve for x
    x = 113,740,787.94/12,342.90
  6. Step 6: Final answer
    x = 9,215.08

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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.