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Finding the Fourth Proportional to 20,714.64, 31,072.28 and 11,538.96

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Solution

The fourth proportional to 20,714.64, 31,072.28 and 11,538.96 is: 17,308.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,714.64 : 31,072.28 = 11,538.96 : x
  2. Step 2: Convert to fraction form
    20,714.64/31,072.28 = 11,538.96/x
  3. Step 3: Cross multiply
    20,714.64x = 31,072.28 × 11,538.96
  4. Step 4: Simplify right side
    20,714.64x = 358,541,796.03
  5. Step 5: Solve for x
    x = 358,541,796.03/20,714.64
  6. Step 6: Final answer
    x = 17,308.62

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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.