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Finding the Fourth Proportional to 20,814.96, 28,723.59 and 12,857.88

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Solution

The fourth proportional to 20,814.96, 28,723.59 and 12,857.88 is: 17,743.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,814.96 : 28,723.59 = 12,857.88 : x
  2. Step 2: Convert to fraction form
    20,814.96/28,723.59 = 12,857.88/x
  3. Step 3: Cross multiply
    20,814.96x = 28,723.59 × 12,857.88
  4. Step 4: Simplify right side
    20,814.96x = 369,324,473.39
  5. Step 5: Solve for x
    x = 369,324,473.39/20,814.96
  6. Step 6: Final answer
    x = 17,743.22

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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.