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Finding the Fourth Proportional to 13,658.46, 20,485.68 and 3,796.74

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Solution

The fourth proportional to 13,658.46, 20,485.68 and 3,796.74 is: 5,694.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.46 : 20,485.68 = 3,796.74 : x
  2. Step 2: Convert to fraction form
    13,658.46/20,485.68 = 3,796.74/x
  3. Step 3: Cross multiply
    13,658.46x = 20,485.68 × 3,796.74
  4. Step 4: Simplify right side
    13,658.46x = 77,778,800.68
  5. Step 5: Solve for x
    x = 77,778,800.68/13,658.46
  6. Step 6: Final answer
    x = 5,694.55

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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.