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Finding the Fourth Proportional to 19,996.16, 29,994.20 and 10,138.24

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Solution

The fourth proportional to 19,996.16, 29,994.20 and 10,138.24 is: 15,207.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,996.16 : 29,994.20 = 10,138.24 : x
  2. Step 2: Convert to fraction form
    19,996.16/29,994.20 = 10,138.24/x
  3. Step 3: Cross multiply
    19,996.16x = 29,994.20 × 10,138.24
  4. Step 4: Simplify right side
    19,996.16x = 304,088,398.21
  5. Step 5: Solve for x
    x = 304,088,398.21/19,996.16
  6. Step 6: Final answer
    x = 15,207.34

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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.