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Finding the Fourth Proportional to 12,977.98, 19,473.12 and 6,734.67

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Solution

The fourth proportional to 12,977.98, 19,473.12 and 6,734.67 is: 10,105.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,977.98 : 19,473.12 = 6,734.67 : x
  2. Step 2: Convert to fraction form
    12,977.98/19,473.12 = 6,734.67/x
  3. Step 3: Cross multiply
    12,977.98x = 19,473.12 × 6,734.67
  4. Step 4: Simplify right side
    12,977.98x = 131,145,037.07
  5. Step 5: Solve for x
    x = 131,145,037.07/12,977.98
  6. Step 6: Final answer
    x = 10,105.20

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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.