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Finding the Fourth Proportional to 28,414.82, 42,613.59 and 9,942.50

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Solution

The fourth proportional to 28,414.82, 42,613.59 and 9,942.50 is: 14,910.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,414.82 : 42,613.59 = 9,942.50 : x
  2. Step 2: Convert to fraction form
    28,414.82/42,613.59 = 9,942.50/x
  3. Step 3: Cross multiply
    28,414.82x = 42,613.59 × 9,942.50
  4. Step 4: Simplify right side
    28,414.82x = 423,685,618.58
  5. Step 5: Solve for x
    x = 423,685,618.58/28,414.82
  6. Step 6: Final answer
    x = 14,910.73

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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.