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Finding the Fourth Proportional to 11,824.40, 17,735.40 and 4,033.10

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Solution

The fourth proportional to 11,824.40, 17,735.40 and 4,033.10 is: 6,049.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,824.40 : 17,735.40 = 4,033.10 : x
  2. Step 2: Convert to fraction form
    11,824.40/17,735.40 = 4,033.10/x
  3. Step 3: Cross multiply
    11,824.40x = 17,735.40 × 4,033.10
  4. Step 4: Simplify right side
    11,824.40x = 71,528,641.74
  5. Step 5: Solve for x
    x = 71,528,641.74/11,824.40
  6. Step 6: Final answer
    x = 6,049.24

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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.