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Finding the Fourth Proportional to 11,409.68, 17,122.74 and 4,020.35

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Solution

The fourth proportional to 11,409.68, 17,122.74 and 4,020.35 is: 6,033.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,409.68 : 17,122.74 = 4,020.35 : x
  2. Step 2: Convert to fraction form
    11,409.68/17,122.74 = 4,020.35/x
  3. Step 3: Cross multiply
    11,409.68x = 17,122.74 × 4,020.35
  4. Step 4: Simplify right side
    11,409.68x = 68,839,407.76
  5. Step 5: Solve for x
    x = 68,839,407.76/11,409.68
  6. Step 6: Final answer
    x = 6,033.42

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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.