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Finding the Fourth Proportional to 13,509.57, 20,248.97 and 8,446.09

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Solution

The fourth proportional to 13,509.57, 20,248.97 and 8,446.09 is: 12,659.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.57 : 20,248.97 = 8,446.09 : x
  2. Step 2: Convert to fraction form
    13,509.57/20,248.97 = 8,446.09/x
  3. Step 3: Cross multiply
    13,509.57x = 20,248.97 × 8,446.09
  4. Step 4: Simplify right side
    13,509.57x = 171,024,667.27
  5. Step 5: Solve for x
    x = 171,024,667.27/13,509.57
  6. Step 6: Final answer
    x = 12,659.52

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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.