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Finding the Fourth Proportional to 22,256.50, 30,714 and 13,873

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Solution

The fourth proportional to 22,256.50, 30,714 and 13,873 is: 19,144.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,256.50 : 30,714 = 13,873 : x
  2. Step 2: Convert to fraction form
    22,256.50/30,714 = 13,873/x
  3. Step 3: Cross multiply
    22,256.50x = 30,714 × 13,873
  4. Step 4: Simplify right side
    22,256.50x = 426,095,322
  5. Step 5: Solve for x
    x = 426,095,322/22,256.50
  6. Step 6: Final answer
    x = 19,144.76

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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.