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Finding the Fourth Proportional to 29,224.24, 43,840.24 and 9,496.14

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Solution

The fourth proportional to 29,224.24, 43,840.24 and 9,496.14 is: 14,245.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,224.24 : 43,840.24 = 9,496.14 : x
  2. Step 2: Convert to fraction form
    29,224.24/43,840.24 = 9,496.14/x
  3. Step 3: Cross multiply
    29,224.24x = 43,840.24 × 9,496.14
  4. Step 4: Simplify right side
    29,224.24x = 416,312,868.53
  5. Step 5: Solve for x
    x = 416,312,868.53/29,224.24
  6. Step 6: Final answer
    x = 14,245.46

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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.