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Finding the Fourth Proportional to 17,825.22, 26,731.68 and 8,460

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Solution

The fourth proportional to 17,825.22, 26,731.68 and 8,460 is: 12,687.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,825.22 : 26,731.68 = 8,460 : x
  2. Step 2: Convert to fraction form
    17,825.22/26,731.68 = 8,460/x
  3. Step 3: Cross multiply
    17,825.22x = 26,731.68 × 8,460
  4. Step 4: Simplify right side
    17,825.22x = 226,150,012.80
  5. Step 5: Solve for x
    x = 226,150,012.80/17,825.22
  6. Step 6: Final answer
    x = 12,687.08

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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.