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Finding the Fourth Proportional to 20,878.75, 28,812.68 and 11,447.38

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Solution

The fourth proportional to 20,878.75, 28,812.68 and 11,447.38 is: 15,797.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,878.75 : 28,812.68 = 11,447.38 : x
  2. Step 2: Convert to fraction form
    20,878.75/28,812.68 = 11,447.38/x
  3. Step 3: Cross multiply
    20,878.75x = 28,812.68 × 11,447.38
  4. Step 4: Simplify right side
    20,878.75x = 329,829,696.78
  5. Step 5: Solve for x
    x = 329,829,696.78/20,878.75
  6. Step 6: Final answer
    x = 15,797.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.