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Finding the Fourth Proportional to 12,409.54, 17,118.23 and 7,626.16

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Solution

The fourth proportional to 12,409.54, 17,118.23 and 7,626.16 is: 10,519.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.54 : 17,118.23 = 7,626.16 : x
  2. Step 2: Convert to fraction form
    12,409.54/17,118.23 = 7,626.16/x
  3. Step 3: Cross multiply
    12,409.54x = 17,118.23 × 7,626.16
  4. Step 4: Simplify right side
    12,409.54x = 130,546,247.87
  5. Step 5: Solve for x
    x = 130,546,247.87/12,409.54
  6. Step 6: Final answer
    x = 10,519.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.