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Finding the Fourth Proportional to 12,910.89, 19,329.84 and 8,219.28

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Solution

The fourth proportional to 12,910.89, 19,329.84 and 8,219.28 is: 12,305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,910.89 : 19,329.84 = 8,219.28 : x
  2. Step 2: Convert to fraction form
    12,910.89/19,329.84 = 8,219.28/x
  3. Step 3: Cross multiply
    12,910.89x = 19,329.84 × 8,219.28
  4. Step 4: Simplify right side
    12,910.89x = 158,877,367.32
  5. Step 5: Solve for x
    x = 158,877,367.32/12,910.89
  6. Step 6: Final answer
    x = 12,305.69

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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.