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Finding the Fourth Proportional to 12,833.40, 19,211.70 and 11,297.40

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Solution

The fourth proportional to 12,833.40, 19,211.70 and 11,297.40 is: 16,912.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.40 : 19,211.70 = 11,297.40 : x
  2. Step 2: Convert to fraction form
    12,833.40/19,211.70 = 11,297.40/x
  3. Step 3: Cross multiply
    12,833.40x = 19,211.70 × 11,297.40
  4. Step 4: Simplify right side
    12,833.40x = 217,042,259.58
  5. Step 5: Solve for x
    x = 217,042,259.58/12,833.40
  6. Step 6: Final answer
    x = 16,912.30

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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.