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Finding the Fourth Proportional to 19,398.16, 29,105.88 and 10,162

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Solution

The fourth proportional to 19,398.16, 29,105.88 and 10,162 is: 15,247.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,398.16 : 29,105.88 = 10,162 : x
  2. Step 2: Convert to fraction form
    19,398.16/29,105.88 = 10,162/x
  3. Step 3: Cross multiply
    19,398.16x = 29,105.88 × 10,162
  4. Step 4: Simplify right side
    19,398.16x = 295,773,952.56
  5. Step 5: Solve for x
    x = 295,773,952.56/19,398.16
  6. Step 6: Final answer
    x = 15,247.53

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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.