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Finding the Fourth Proportional to 12,813.90, 19,219.20 and 4,049.70

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Solution

The fourth proportional to 12,813.90, 19,219.20 and 4,049.70 is: 6,074.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.90 : 19,219.20 = 4,049.70 : x
  2. Step 2: Convert to fraction form
    12,813.90/19,219.20 = 4,049.70/x
  3. Step 3: Cross multiply
    12,813.90x = 19,219.20 × 4,049.70
  4. Step 4: Simplify right side
    12,813.90x = 77,831,994.24
  5. Step 5: Solve for x
    x = 77,831,994.24/12,813.90
  6. Step 6: Final answer
    x = 6,074.03

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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.