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Finding the Fourth Proportional to 30,963.36, 46,454.04 and 11,241.60

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Solution

The fourth proportional to 30,963.36, 46,454.04 and 11,241.60 is: 16,865.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,963.36 : 46,454.04 = 11,241.60 : x
  2. Step 2: Convert to fraction form
    30,963.36/46,454.04 = 11,241.60/x
  3. Step 3: Cross multiply
    30,963.36x = 46,454.04 × 11,241.60
  4. Step 4: Simplify right side
    30,963.36x = 522,217,736.06
  5. Step 5: Solve for x
    x = 522,217,736.06/30,963.36
  6. Step 6: Final answer
    x = 16,865.67

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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.