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Finding the Fourth Proportional to 29,466.24, 44,194.88 and 9,745.60

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Solution

The fourth proportional to 29,466.24, 44,194.88 and 9,745.60 is: 14,616.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,466.24 : 44,194.88 = 9,745.60 : x
  2. Step 2: Convert to fraction form
    29,466.24/44,194.88 = 9,745.60/x
  3. Step 3: Cross multiply
    29,466.24x = 44,194.88 × 9,745.60
  4. Step 4: Simplify right side
    29,466.24x = 430,705,622.53
  5. Step 5: Solve for x
    x = 430,705,622.53/29,466.24
  6. Step 6: Final answer
    x = 14,616.92

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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.