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Finding the Fourth Proportional to 13,645.62, 20,468.84 and 3,785.63

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Solution

The fourth proportional to 13,645.62, 20,468.84 and 3,785.63 is: 5,678.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.62 : 20,468.84 = 3,785.63 : x
  2. Step 2: Convert to fraction form
    13,645.62/20,468.84 = 3,785.63/x
  3. Step 3: Cross multiply
    13,645.62x = 20,468.84 × 3,785.63
  4. Step 4: Simplify right side
    13,645.62x = 77,487,333.50
  5. Step 5: Solve for x
    x = 77,487,333.50/13,645.62
  6. Step 6: Final answer
    x = 5,678.55

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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.