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Finding the Fourth Proportional to 20,257.68, 27,946.98 and 12,698.86

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Solution

The fourth proportional to 20,257.68, 27,946.98 and 12,698.86 is: 17,519.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,257.68 : 27,946.98 = 12,698.86 : x
  2. Step 2: Convert to fraction form
    20,257.68/27,946.98 = 12,698.86/x
  3. Step 3: Cross multiply
    20,257.68x = 27,946.98 × 12,698.86
  4. Step 4: Simplify right side
    20,257.68x = 354,894,786.44
  5. Step 5: Solve for x
    x = 354,894,786.44/20,257.68
  6. Step 6: Final answer
    x = 17,519.02

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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.