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Finding the Fourth Proportional to 13,652.16, 20,474.44 and 3,790.68

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Solution

The fourth proportional to 13,652.16, 20,474.44 and 3,790.68 is: 5,684.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,652.16 : 20,474.44 = 3,790.68 : x
  2. Step 2: Convert to fraction form
    13,652.16/20,474.44 = 3,790.68/x
  3. Step 3: Cross multiply
    13,652.16x = 20,474.44 × 3,790.68
  4. Step 4: Simplify right side
    13,652.16x = 77,612,050.22
  5. Step 5: Solve for x
    x = 77,612,050.22/13,652.16
  6. Step 6: Final answer
    x = 5,684.96

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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.