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Finding the Fourth Proportional to 21,401, 29,533.49 and 11,969.57

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Solution

The fourth proportional to 21,401, 29,533.49 and 11,969.57 is: 16,518.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,401 : 29,533.49 = 11,969.57 : x
  2. Step 2: Convert to fraction form
    21,401/29,533.49 = 11,969.57/x
  3. Step 3: Cross multiply
    21,401x = 29,533.49 × 11,969.57
  4. Step 4: Simplify right side
    21,401x = 353,502,968.38
  5. Step 5: Solve for x
    x = 353,502,968.38/21,401
  6. Step 6: Final answer
    x = 16,518.06

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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.