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Finding the Fourth Proportional to 13,605.64, 20,380.76 and 12,471.64

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Solution

The fourth proportional to 13,605.64, 20,380.76 and 12,471.64 is: 18,682.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.64 : 20,380.76 = 12,471.64 : x
  2. Step 2: Convert to fraction form
    13,605.64/20,380.76 = 12,471.64/x
  3. Step 3: Cross multiply
    13,605.64x = 20,380.76 × 12,471.64
  4. Step 4: Simplify right side
    13,605.64x = 254,181,501.65
  5. Step 5: Solve for x
    x = 254,181,501.65/13,605.64
  6. Step 6: Final answer
    x = 18,682.07

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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.