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Finding the Fourth Proportional to 21,986.82, 30,381.99 and 16,008.06

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Solution

The fourth proportional to 21,986.82, 30,381.99 and 16,008.06 is: 22,120.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,986.82 : 30,381.99 = 16,008.06 : x
  2. Step 2: Convert to fraction form
    21,986.82/30,381.99 = 16,008.06/x
  3. Step 3: Cross multiply
    21,986.82x = 30,381.99 × 16,008.06
  4. Step 4: Simplify right side
    21,986.82x = 486,356,718.84
  5. Step 5: Solve for x
    x = 486,356,718.84/21,986.82
  6. Step 6: Final answer
    x = 22,120.38

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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.