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Finding the Fourth Proportional to 19,858.56, 29,790 and 7,377.12

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Solution

The fourth proportional to 19,858.56, 29,790 and 7,377.12 is: 11,066.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,858.56 : 29,790 = 7,377.12 : x
  2. Step 2: Convert to fraction form
    19,858.56/29,790 = 7,377.12/x
  3. Step 3: Cross multiply
    19,858.56x = 29,790 × 7,377.12
  4. Step 4: Simplify right side
    19,858.56x = 219,764,404.80
  5. Step 5: Solve for x
    x = 219,764,404.80/19,858.56
  6. Step 6: Final answer
    x = 11,066.48

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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.