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Finding the Fourth Proportional to 17,204.68, 23,714.82 and 12,949.48

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Solution

The fourth proportional to 17,204.68, 23,714.82 and 12,949.48 is: 17,849.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,204.68 : 23,714.82 = 12,949.48 : x
  2. Step 2: Convert to fraction form
    17,204.68/23,714.82 = 12,949.48/x
  3. Step 3: Cross multiply
    17,204.68x = 23,714.82 × 12,949.48
  4. Step 4: Simplify right side
    17,204.68x = 307,094,587.29
  5. Step 5: Solve for x
    x = 307,094,587.29/17,204.68
  6. Step 6: Final answer
    x = 17,849.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.