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Finding the Fourth Proportional to 13,409.30, 20,114.16 and 5,087.12

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Solution

The fourth proportional to 13,409.30, 20,114.16 and 5,087.12 is: 7,630.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.30 : 20,114.16 = 5,087.12 : x
  2. Step 2: Convert to fraction form
    13,409.30/20,114.16 = 5,087.12/x
  3. Step 3: Cross multiply
    13,409.30x = 20,114.16 × 5,087.12
  4. Step 4: Simplify right side
    13,409.30x = 102,323,145.62
  5. Step 5: Solve for x
    x = 102,323,145.62/13,409.30
  6. Step 6: Final answer
    x = 7,630.76

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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.