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Finding the Fourth Proportional to 13,378.80, 20,029.80 and 12,994.80

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Solution

The fourth proportional to 13,378.80, 20,029.80 and 12,994.80 is: 19,454.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.80 : 20,029.80 = 12,994.80 : x
  2. Step 2: Convert to fraction form
    13,378.80/20,029.80 = 12,994.80/x
  3. Step 3: Cross multiply
    13,378.80x = 20,029.80 × 12,994.80
  4. Step 4: Simplify right side
    13,378.80x = 260,283,245.04
  5. Step 5: Solve for x
    x = 260,283,245.04/13,378.80
  6. Step 6: Final answer
    x = 19,454.90

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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.