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Finding the Fourth Proportional to 21,008.49, 28,991.81 and 11,577.06

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Solution

The fourth proportional to 21,008.49, 28,991.81 and 11,577.06 is: 15,976.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,008.49 : 28,991.81 = 11,577.06 : x
  2. Step 2: Convert to fraction form
    21,008.49/28,991.81 = 11,577.06/x
  3. Step 3: Cross multiply
    21,008.49x = 28,991.81 × 11,577.06
  4. Step 4: Simplify right side
    21,008.49x = 335,639,923.88
  5. Step 5: Solve for x
    x = 335,639,923.88/21,008.49
  6. Step 6: Final answer
    x = 15,976.39

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Why These Related Problems?

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