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Finding the Fourth Proportional to 28,137.60, 42,214.86 and 8,416.80

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Solution

The fourth proportional to 28,137.60, 42,214.86 and 8,416.80 is: 12,627.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,137.60 : 42,214.86 = 8,416.80 : x
  2. Step 2: Convert to fraction form
    28,137.60/42,214.86 = 8,416.80/x
  3. Step 3: Cross multiply
    28,137.60x = 42,214.86 × 8,416.80
  4. Step 4: Simplify right side
    28,137.60x = 355,314,033.65
  5. Step 5: Solve for x
    x = 355,314,033.65/28,137.60
  6. Step 6: Final answer
    x = 12,627.73

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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.