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Finding the Fourth Proportional to 19,431.65, 29,150.21 and 9,571.03

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Solution

The fourth proportional to 19,431.65, 29,150.21 and 9,571.03 is: 14,357.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,431.65 : 29,150.21 = 9,571.03 : x
  2. Step 2: Convert to fraction form
    19,431.65/29,150.21 = 9,571.03/x
  3. Step 3: Cross multiply
    19,431.65x = 29,150.21 × 9,571.03
  4. Step 4: Simplify right side
    19,431.65x = 278,997,485.47
  5. Step 5: Solve for x
    x = 278,997,485.47/19,431.65
  6. Step 6: Final answer
    x = 14,357.89

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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.