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Finding the Fourth Proportional to 22,556.88, 33,824.94 and 9,401.40

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Solution

The fourth proportional to 22,556.88, 33,824.94 and 9,401.40 is: 14,097.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,556.88 : 33,824.94 = 9,401.40 : x
  2. Step 2: Convert to fraction form
    22,556.88/33,824.94 = 9,401.40/x
  3. Step 3: Cross multiply
    22,556.88x = 33,824.94 × 9,401.40
  4. Step 4: Simplify right side
    22,556.88x = 318,001,790.92
  5. Step 5: Solve for x
    x = 318,001,790.92/22,556.88
  6. Step 6: Final answer
    x = 14,097.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.