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Finding the Fourth Proportional to 22,257.24, 30,714.84 and 12,825.60

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Solution

The fourth proportional to 22,257.24, 30,714.84 and 12,825.60 is: 17,699.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,257.24 : 30,714.84 = 12,825.60 : x
  2. Step 2: Convert to fraction form
    22,257.24/30,714.84 = 12,825.60/x
  3. Step 3: Cross multiply
    22,257.24x = 30,714.84 × 12,825.60
  4. Step 4: Simplify right side
    22,257.24x = 393,936,251.90
  5. Step 5: Solve for x
    x = 393,936,251.90/22,257.24
  6. Step 6: Final answer
    x = 17,699.24

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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.