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Finding the Fourth Proportional to 12,912.74, 19,369.26 and 12,283.22

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Solution

The fourth proportional to 12,912.74, 19,369.26 and 12,283.22 is: 18,424.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.74 : 19,369.26 = 12,283.22 : x
  2. Step 2: Convert to fraction form
    12,912.74/19,369.26 = 12,283.22/x
  3. Step 3: Cross multiply
    12,912.74x = 19,369.26 × 12,283.22
  4. Step 4: Simplify right side
    12,912.74x = 237,916,881.82
  5. Step 5: Solve for x
    x = 237,916,881.82/12,912.74
  6. Step 6: Final answer
    x = 18,424.97

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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.