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Finding the Fourth Proportional to 20,878.75, 28,814.50 and 11,449.14

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Solution

The fourth proportional to 20,878.75, 28,814.50 and 11,449.14 is: 15,800.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,878.75 : 28,814.50 = 11,449.14 : x
  2. Step 2: Convert to fraction form
    20,878.75/28,814.50 = 11,449.14/x
  3. Step 3: Cross multiply
    20,878.75x = 28,814.50 × 11,449.14
  4. Step 4: Simplify right side
    20,878.75x = 329,901,244.53
  5. Step 5: Solve for x
    x = 329,901,244.53/20,878.75
  6. Step 6: Final answer
    x = 15,800.81

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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.