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Finding the Fourth Proportional to 13,783.74, 20,675.48 and 3,395.49

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Solution

The fourth proportional to 13,783.74, 20,675.48 and 3,395.49 is: 5,093.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.74 : 20,675.48 = 3,395.49 : x
  2. Step 2: Convert to fraction form
    13,783.74/20,675.48 = 3,395.49/x
  3. Step 3: Cross multiply
    13,783.74x = 20,675.48 × 3,395.49
  4. Step 4: Simplify right side
    13,783.74x = 70,203,368.61
  5. Step 5: Solve for x
    x = 70,203,368.61/13,783.74
  6. Step 6: Final answer
    x = 5,093.20

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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.