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Finding the Fourth Proportional to 13,504.38, 20,257.04 and 3,643.91

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Solution

The fourth proportional to 13,504.38, 20,257.04 and 3,643.91 is: 5,465.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504.38 : 20,257.04 = 3,643.91 : x
  2. Step 2: Convert to fraction form
    13,504.38/20,257.04 = 3,643.91/x
  3. Step 3: Cross multiply
    13,504.38x = 20,257.04 × 3,643.91
  4. Step 4: Simplify right side
    13,504.38x = 73,814,830.63
  5. Step 5: Solve for x
    x = 73,814,830.63/13,504.38
  6. Step 6: Final answer
    x = 5,465.99

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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.