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Finding the Fourth Proportional to 17,738.24, 26,582.64 and 8,962.91

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Solution

The fourth proportional to 17,738.24, 26,582.64 and 8,962.91 is: 13,431.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,738.24 : 26,582.64 = 8,962.91 : x
  2. Step 2: Convert to fraction form
    17,738.24/26,582.64 = 8,962.91/x
  3. Step 3: Cross multiply
    17,738.24x = 26,582.64 × 8,962.91
  4. Step 4: Simplify right side
    17,738.24x = 238,257,676.97
  5. Step 5: Solve for x
    x = 238,257,676.97/17,738.24
  6. Step 6: Final answer
    x = 13,431.87

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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.