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Finding the Fourth Proportional to 21,774.49, 30,049.38 and 12,820.34

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Solution

The fourth proportional to 21,774.49, 30,049.38 and 12,820.34 is: 17,692.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,774.49 : 30,049.38 = 12,820.34 : x
  2. Step 2: Convert to fraction form
    21,774.49/30,049.38 = 12,820.34/x
  3. Step 3: Cross multiply
    21,774.49x = 30,049.38 × 12,820.34
  4. Step 4: Simplify right side
    21,774.49x = 385,243,343.51
  5. Step 5: Solve for x
    x = 385,243,343.51/21,774.49
  6. Step 6: Final answer
    x = 17,692.42

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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.