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Finding the Fourth Proportional to 20,878.92, 28,812.87 and 11,447.46

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Solution

The fourth proportional to 20,878.92, 28,812.87 and 11,447.46 is: 15,797.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,878.92 : 28,812.87 = 11,447.46 : x
  2. Step 2: Convert to fraction form
    20,878.92/28,812.87 = 11,447.46/x
  3. Step 3: Cross multiply
    20,878.92x = 28,812.87 × 11,447.46
  4. Step 4: Simplify right side
    20,878.92x = 329,834,176.81
  5. Step 5: Solve for x
    x = 329,834,176.81/20,878.92
  6. Step 6: Final answer
    x = 15,797.47

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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.