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Finding the Fourth Proportional to 12,905.14, 19,324.11 and 7,049.74

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Solution

The fourth proportional to 12,905.14, 19,324.11 and 7,049.74 is: 10,556.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,905.14 : 19,324.11 = 7,049.74 : x
  2. Step 2: Convert to fraction form
    12,905.14/19,324.11 = 7,049.74/x
  3. Step 3: Cross multiply
    12,905.14x = 19,324.11 × 7,049.74
  4. Step 4: Simplify right side
    12,905.14x = 136,229,951.23
  5. Step 5: Solve for x
    x = 136,229,951.23/12,905.14
  6. Step 6: Final answer
    x = 10,556.26

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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.