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Finding the Fourth Proportional to 12,947.70, 19,421.46 and 10,634.34

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Solution

The fourth proportional to 12,947.70, 19,421.46 and 10,634.34 is: 15,951.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,947.70 : 19,421.46 = 10,634.34 : x
  2. Step 2: Convert to fraction form
    12,947.70/19,421.46 = 10,634.34/x
  3. Step 3: Cross multiply
    12,947.70x = 19,421.46 × 10,634.34
  4. Step 4: Simplify right side
    12,947.70x = 206,534,408.94
  5. Step 5: Solve for x
    x = 206,534,408.94/12,947.70
  6. Step 6: Final answer
    x = 15,951.44

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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.