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Finding the Fourth Proportional to 28,144.80, 42,204.75 and 8,419.58

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Solution

The fourth proportional to 28,144.80, 42,204.75 and 8,419.58 is: 12,625.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,144.80 : 42,204.75 = 8,419.58 : x
  2. Step 2: Convert to fraction form
    28,144.80/42,204.75 = 8,419.58/x
  3. Step 3: Cross multiply
    28,144.80x = 42,204.75 × 8,419.58
  4. Step 4: Simplify right side
    28,144.80x = 355,346,184.68
  5. Step 5: Solve for x
    x = 355,346,184.68/28,144.80
  6. Step 6: Final answer
    x = 12,625.64

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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.