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Finding the Fourth Proportional to 17,788.09, 26,676.40 and 9,894.37

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Solution

The fourth proportional to 17,788.09, 26,676.40 and 9,894.37 is: 14,838.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,788.09 : 26,676.40 = 9,894.37 : x
  2. Step 2: Convert to fraction form
    17,788.09/26,676.40 = 9,894.37/x
  3. Step 3: Cross multiply
    17,788.09x = 26,676.40 × 9,894.37
  4. Step 4: Simplify right side
    17,788.09x = 263,945,989.01
  5. Step 5: Solve for x
    x = 263,945,989.01/17,788.09
  6. Step 6: Final answer
    x = 14,838.36

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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.