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Finding the Fourth Proportional to 29,464.40, 44,190.24 and 9,738.32

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Solution

The fourth proportional to 29,464.40, 44,190.24 and 9,738.32 is: 14,605.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,464.40 : 44,190.24 = 9,738.32 : x
  2. Step 2: Convert to fraction form
    29,464.40/44,190.24 = 9,738.32/x
  3. Step 3: Cross multiply
    29,464.40x = 44,190.24 × 9,738.32
  4. Step 4: Simplify right side
    29,464.40x = 430,338,698.00
  5. Step 5: Solve for x
    x = 430,338,698.00/29,464.40
  6. Step 6: Final answer
    x = 14,605.38

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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.