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Finding the Fourth Proportional to 19,568.70, 29,357.19 and 6,419.97

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Solution

The fourth proportional to 19,568.70, 29,357.19 and 6,419.97 is: 9,631.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,568.70 : 29,357.19 = 6,419.97 : x
  2. Step 2: Convert to fraction form
    19,568.70/29,357.19 = 6,419.97/x
  3. Step 3: Cross multiply
    19,568.70x = 29,357.19 × 6,419.97
  4. Step 4: Simplify right side
    19,568.70x = 188,472,279.08
  5. Step 5: Solve for x
    x = 188,472,279.08/19,568.70
  6. Step 6: Final answer
    x = 9,631.31

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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.