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Finding the Fourth Proportional to 19,401, 26,772.12 and 11,441.40

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Solution

The fourth proportional to 19,401, 26,772.12 and 11,441.40 is: 15,788.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,401 : 26,772.12 = 11,441.40 : x
  2. Step 2: Convert to fraction form
    19,401/26,772.12 = 11,441.40/x
  3. Step 3: Cross multiply
    19,401x = 26,772.12 × 11,441.40
  4. Step 4: Simplify right side
    19,401x = 306,310,533.77
  5. Step 5: Solve for x
    x = 306,310,533.77/19,401
  6. Step 6: Final answer
    x = 15,788.39

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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.