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Finding the Fourth Proportional to 28,014.68, 42,022.46 and 8,295.24

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Solution

The fourth proportional to 28,014.68, 42,022.46 and 8,295.24 is: 12,442.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,014.68 : 42,022.46 = 8,295.24 : x
  2. Step 2: Convert to fraction form
    28,014.68/42,022.46 = 8,295.24/x
  3. Step 3: Cross multiply
    28,014.68x = 42,022.46 × 8,295.24
  4. Step 4: Simplify right side
    28,014.68x = 348,586,391.09
  5. Step 5: Solve for x
    x = 348,586,391.09/28,014.68
  6. Step 6: Final answer
    x = 12,442.99

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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.