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Finding the Fourth Proportional to 12,319.50, 16,994.82 and 8,735.22

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Solution

The fourth proportional to 12,319.50, 16,994.82 and 8,735.22 is: 12,050.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,319.50 : 16,994.82 = 8,735.22 : x
  2. Step 2: Convert to fraction form
    12,319.50/16,994.82 = 8,735.22/x
  3. Step 3: Cross multiply
    12,319.50x = 16,994.82 × 8,735.22
  4. Step 4: Simplify right side
    12,319.50x = 148,453,491.56
  5. Step 5: Solve for x
    x = 148,453,491.56/12,319.50
  6. Step 6: Final answer
    x = 12,050.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.