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Finding the Fourth Proportional to 28,107.96, 42,166.26 and 9,382.20

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Solution

The fourth proportional to 28,107.96, 42,166.26 and 9,382.20 is: 14,074.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,107.96 : 42,166.26 = 9,382.20 : x
  2. Step 2: Convert to fraction form
    28,107.96/42,166.26 = 9,382.20/x
  3. Step 3: Cross multiply
    28,107.96x = 42,166.26 × 9,382.20
  4. Step 4: Simplify right side
    28,107.96x = 395,612,284.57
  5. Step 5: Solve for x
    x = 395,612,284.57/28,107.96
  6. Step 6: Final answer
    x = 14,074.74

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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.