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Finding the Fourth Proportional to 13,690.08, 20,528.48 and 8,144.16

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Solution

The fourth proportional to 13,690.08, 20,528.48 and 8,144.16 is: 12,212.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.08 : 20,528.48 = 8,144.16 : x
  2. Step 2: Convert to fraction form
    13,690.08/20,528.48 = 8,144.16/x
  3. Step 3: Cross multiply
    13,690.08x = 20,528.48 × 8,144.16
  4. Step 4: Simplify right side
    13,690.08x = 167,187,225.68
  5. Step 5: Solve for x
    x = 167,187,225.68/13,690.08
  6. Step 6: Final answer
    x = 12,212.29

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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.