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Finding the Fourth Proportional to 28,996.88, 43,500.78 and 13,414.50

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Solution

The fourth proportional to 28,996.88, 43,500.78 and 13,414.50 is: 20,124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,996.88 : 43,500.78 = 13,414.50 : x
  2. Step 2: Convert to fraction form
    28,996.88/43,500.78 = 13,414.50/x
  3. Step 3: Cross multiply
    28,996.88x = 43,500.78 × 13,414.50
  4. Step 4: Simplify right side
    28,996.88x = 583,541,213.31
  5. Step 5: Solve for x
    x = 583,541,213.31/28,996.88
  6. Step 6: Final answer
    x = 20,124.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.