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Finding the Fourth Proportional to 19,570.80, 29,369.56 and 7,884.92

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Solution

The fourth proportional to 19,570.80, 29,369.56 and 7,884.92 is: 11,832.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,570.80 : 29,369.56 = 7,884.92 : x
  2. Step 2: Convert to fraction form
    19,570.80/29,369.56 = 7,884.92/x
  3. Step 3: Cross multiply
    19,570.80x = 29,369.56 × 7,884.92
  4. Step 4: Simplify right side
    19,570.80x = 231,576,631.04
  5. Step 5: Solve for x
    x = 231,576,631.04/19,570.80
  6. Step 6: Final answer
    x = 11,832.76

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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.