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Finding the Fourth Proportional to 28,216.38, 38,942.64 and 16,283.82

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Solution

The fourth proportional to 28,216.38, 38,942.64 and 16,283.82 is: 22,474.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,216.38 : 38,942.64 = 16,283.82 : x
  2. Step 2: Convert to fraction form
    28,216.38/38,942.64 = 16,283.82/x
  3. Step 3: Cross multiply
    28,216.38x = 38,942.64 × 16,283.82
  4. Step 4: Simplify right side
    28,216.38x = 634,134,940.08
  5. Step 5: Solve for x
    x = 634,134,940.08/28,216.38
  6. Step 6: Final answer
    x = 22,474.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.