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Finding the Fourth Proportional to 12,709.72, 19,064.72 and 3,351.09

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Solution

The fourth proportional to 12,709.72, 19,064.72 and 3,351.09 is: 5,026.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709.72 : 19,064.72 = 3,351.09 : x
  2. Step 2: Convert to fraction form
    12,709.72/19,064.72 = 3,351.09/x
  3. Step 3: Cross multiply
    12,709.72x = 19,064.72 × 3,351.09
  4. Step 4: Simplify right side
    12,709.72x = 63,887,592.54
  5. Step 5: Solve for x
    x = 63,887,592.54/12,709.72
  6. Step 6: Final answer
    x = 5,026.67

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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.