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Finding the Fourth Proportional to 28,302.96, 42,449.55 and 8,578.68

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Solution

The fourth proportional to 28,302.96, 42,449.55 and 8,578.68 is: 12,866.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,302.96 : 42,449.55 = 8,578.68 : x
  2. Step 2: Convert to fraction form
    28,302.96/42,449.55 = 8,578.68/x
  3. Step 3: Cross multiply
    28,302.96x = 42,449.55 × 8,578.68
  4. Step 4: Simplify right side
    28,302.96x = 364,161,105.59
  5. Step 5: Solve for x
    x = 364,161,105.59/28,302.96
  6. Step 6: Final answer
    x = 12,866.54

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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.