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Finding the Fourth Proportional to 19,983.70, 27,577.34 and 11,031.20

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Solution

The fourth proportional to 19,983.70, 27,577.34 and 11,031.20 is: 15,222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,983.70 : 27,577.34 = 11,031.20 : x
  2. Step 2: Convert to fraction form
    19,983.70/27,577.34 = 11,031.20/x
  3. Step 3: Cross multiply
    19,983.70x = 27,577.34 × 11,031.20
  4. Step 4: Simplify right side
    19,983.70x = 304,211,015.12
  5. Step 5: Solve for x
    x = 304,211,015.12/19,983.70
  6. Step 6: Final answer
    x = 15,222.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.