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Finding the Fourth Proportional to 28,182.69, 42,280.52 and 8,461.62

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Solution

The fourth proportional to 28,182.69, 42,280.52 and 8,461.62 is: 12,694.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,182.69 : 42,280.52 = 8,461.62 : x
  2. Step 2: Convert to fraction form
    28,182.69/42,280.52 = 8,461.62/x
  3. Step 3: Cross multiply
    28,182.69x = 42,280.52 × 8,461.62
  4. Step 4: Simplify right side
    28,182.69x = 357,761,651.33
  5. Step 5: Solve for x
    x = 357,761,651.33/28,182.69
  6. Step 6: Final answer
    x = 12,694.38

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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.