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Finding the Fourth Proportional to 20,889.26, 28,829 and 11,459.65

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Solution

The fourth proportional to 20,889.26, 28,829 and 11,459.65 is: 15,815.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,889.26 : 28,829 = 11,459.65 : x
  2. Step 2: Convert to fraction form
    20,889.26/28,829 = 11,459.65/x
  3. Step 3: Cross multiply
    20,889.26x = 28,829 × 11,459.65
  4. Step 4: Simplify right side
    20,889.26x = 330,370,249.85
  5. Step 5: Solve for x
    x = 330,370,249.85/20,889.26
  6. Step 6: Final answer
    x = 15,815.32

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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.