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Finding the Fourth Proportional to 28,012.72, 42,006.24 and 8,284.24

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Solution

The fourth proportional to 28,012.72, 42,006.24 and 8,284.24 is: 12,422.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,012.72 : 42,006.24 = 8,284.24 : x
  2. Step 2: Convert to fraction form
    28,012.72/42,006.24 = 8,284.24/x
  3. Step 3: Cross multiply
    28,012.72x = 42,006.24 × 8,284.24
  4. Step 4: Simplify right side
    28,012.72x = 347,989,773.66
  5. Step 5: Solve for x
    x = 347,989,773.66/28,012.72
  6. Step 6: Final answer
    x = 12,422.56

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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.