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Finding the Fourth Proportional to 19,571.40, 29,357.12 and 9,183.16

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Solution

The fourth proportional to 19,571.40, 29,357.12 and 9,183.16 is: 13,774.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,571.40 : 29,357.12 = 9,183.16 : x
  2. Step 2: Convert to fraction form
    19,571.40/29,357.12 = 9,183.16/x
  3. Step 3: Cross multiply
    19,571.40x = 29,357.12 × 9,183.16
  4. Step 4: Simplify right side
    19,571.40x = 269,591,130.10
  5. Step 5: Solve for x
    x = 269,591,130.10/19,571.40
  6. Step 6: Final answer
    x = 13,774.75

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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.