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Finding the Fourth Proportional to 13,674.90, 20,504.16 and 5,345.16

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Solution

The fourth proportional to 13,674.90, 20,504.16 and 5,345.16 is: 8,014.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.90 : 20,504.16 = 5,345.16 : x
  2. Step 2: Convert to fraction form
    13,674.90/20,504.16 = 5,345.16/x
  3. Step 3: Cross multiply
    13,674.90x = 20,504.16 × 5,345.16
  4. Step 4: Simplify right side
    13,674.90x = 109,598,015.87
  5. Step 5: Solve for x
    x = 109,598,015.87/13,674.90
  6. Step 6: Final answer
    x = 8,014.54

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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.