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Finding the Fourth Proportional to 12,754.19, 19,138.85 and 6,910.67

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Solution

The fourth proportional to 12,754.19, 19,138.85 and 6,910.67 is: 10,370.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,754.19 : 19,138.85 = 6,910.67 : x
  2. Step 2: Convert to fraction form
    12,754.19/19,138.85 = 6,910.67/x
  3. Step 3: Cross multiply
    12,754.19x = 19,138.85 × 6,910.67
  4. Step 4: Simplify right side
    12,754.19x = 132,262,241.98
  5. Step 5: Solve for x
    x = 132,262,241.98/12,754.19
  6. Step 6: Final answer
    x = 10,370.10

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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.