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Finding the Fourth Proportional to 28,946.34, 39,947.49 and 16,198.74

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Solution

The fourth proportional to 28,946.34, 39,947.49 and 16,198.74 is: 22,355.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,946.34 : 39,947.49 = 16,198.74 : x
  2. Step 2: Convert to fraction form
    28,946.34/39,947.49 = 16,198.74/x
  3. Step 3: Cross multiply
    28,946.34x = 39,947.49 × 16,198.74
  4. Step 4: Simplify right side
    28,946.34x = 647,099,004.16
  5. Step 5: Solve for x
    x = 647,099,004.16/28,946.34
  6. Step 6: Final answer
    x = 22,355.12

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