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Finding the Fourth Proportional to 13,646.34, 20,469.51 and 3,785.62

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Solution

The fourth proportional to 13,646.34, 20,469.51 and 3,785.62 is: 5,678.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.34 : 20,469.51 = 3,785.62 : x
  2. Step 2: Convert to fraction form
    13,646.34/20,469.51 = 3,785.62/x
  3. Step 3: Cross multiply
    13,646.34x = 20,469.51 × 3,785.62
  4. Step 4: Simplify right side
    13,646.34x = 77,489,786.45
  5. Step 5: Solve for x
    x = 77,489,786.45/13,646.34
  6. Step 6: Final answer
    x = 5,678.43

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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.