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Finding the Fourth Proportional to 19,983.69, 27,577.49 and 11,031.20

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Solution

The fourth proportional to 19,983.69, 27,577.49 and 11,031.20 is: 15,223.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,983.69 : 27,577.49 = 11,031.20 : x
  2. Step 2: Convert to fraction form
    19,983.69/27,577.49 = 11,031.20/x
  3. Step 3: Cross multiply
    19,983.69x = 27,577.49 × 11,031.20
  4. Step 4: Simplify right side
    19,983.69x = 304,212,669.80
  5. Step 5: Solve for x
    x = 304,212,669.80/19,983.69
  6. Step 6: Final answer
    x = 15,223.05

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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.