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Finding the Fourth Proportional to 13,826.66, 20,740.06 and 3,438.41

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Solution

The fourth proportional to 13,826.66, 20,740.06 and 3,438.41 is: 5,157.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,826.66 : 20,740.06 = 3,438.41 : x
  2. Step 2: Convert to fraction form
    13,826.66/20,740.06 = 3,438.41/x
  3. Step 3: Cross multiply
    13,826.66x = 20,740.06 × 3,438.41
  4. Step 4: Simplify right side
    13,826.66x = 71,312,829.70
  5. Step 5: Solve for x
    x = 71,312,829.70/13,826.66
  6. Step 6: Final answer
    x = 5,157.63

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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.