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Finding the Fourth Proportional to 19,571.42, 29,356.76 and 7,884.34

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Solution

The fourth proportional to 19,571.42, 29,356.76 and 7,884.34 is: 11,826.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,571.42 : 29,356.76 = 7,884.34 : x
  2. Step 2: Convert to fraction form
    19,571.42/29,356.76 = 7,884.34/x
  3. Step 3: Cross multiply
    19,571.42x = 29,356.76 × 7,884.34
  4. Step 4: Simplify right side
    19,571.42x = 231,458,677.14
  5. Step 5: Solve for x
    x = 231,458,677.14/19,571.42
  6. Step 6: Final answer
    x = 11,826.36

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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.