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Finding the Fourth Proportional to 20,878.68, 28,813.41 and 11,447.58

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Solution

The fourth proportional to 20,878.68, 28,813.41 and 11,447.58 is: 15,798.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,878.68 : 28,813.41 = 11,447.58 : x
  2. Step 2: Convert to fraction form
    20,878.68/28,813.41 = 11,447.58/x
  3. Step 3: Cross multiply
    20,878.68x = 28,813.41 × 11,447.58
  4. Step 4: Simplify right side
    20,878.68x = 329,843,816.05
  5. Step 5: Solve for x
    x = 329,843,816.05/20,878.68
  6. Step 6: Final answer
    x = 15,798.12

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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.