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Finding the Fourth Proportional to 13,523.63, 20,285.44 and 4,289.63

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Solution

The fourth proportional to 13,523.63, 20,285.44 and 4,289.63 is: 6,434.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,523.63 : 20,285.44 = 4,289.63 : x
  2. Step 2: Convert to fraction form
    13,523.63/20,285.44 = 4,289.63/x
  3. Step 3: Cross multiply
    13,523.63x = 20,285.44 × 4,289.63
  4. Step 4: Simplify right side
    13,523.63x = 87,016,919.84
  5. Step 5: Solve for x
    x = 87,016,919.84/13,523.63
  6. Step 6: Final answer
    x = 6,434.44

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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.