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Finding the Fourth Proportional to 26,556.75, 39,836.08 and 9,024.30

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Solution

The fourth proportional to 26,556.75, 39,836.08 and 9,024.30 is: 13,536.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,556.75 : 39,836.08 = 9,024.30 : x
  2. Step 2: Convert to fraction form
    26,556.75/39,836.08 = 9,024.30/x
  3. Step 3: Cross multiply
    26,556.75x = 39,836.08 × 9,024.30
  4. Step 4: Simplify right side
    26,556.75x = 359,492,736.74
  5. Step 5: Solve for x
    x = 359,492,736.74/26,556.75
  6. Step 6: Final answer
    x = 13,536.77

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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.