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Finding the Fourth Proportional to 20,859.94, 28,786.57 and 11,788.24

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Solution

The fourth proportional to 20,859.94, 28,786.57 and 11,788.24 is: 16,267.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,859.94 : 28,786.57 = 11,788.24 : x
  2. Step 2: Convert to fraction form
    20,859.94/28,786.57 = 11,788.24/x
  3. Step 3: Cross multiply
    20,859.94x = 28,786.57 × 11,788.24
  4. Step 4: Simplify right side
    20,859.94x = 339,343,095.75
  5. Step 5: Solve for x
    x = 339,343,095.75/20,859.94
  6. Step 6: Final answer
    x = 16,267.69

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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.