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Finding the Fourth Proportional to 16,045.38, 22,143.78 and 8,973

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Solution

The fourth proportional to 16,045.38, 22,143.78 and 8,973 is: 12,383.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,045.38 : 22,143.78 = 8,973 : x
  2. Step 2: Convert to fraction form
    16,045.38/22,143.78 = 8,973/x
  3. Step 3: Cross multiply
    16,045.38x = 22,143.78 × 8,973
  4. Step 4: Simplify right side
    16,045.38x = 198,696,137.94
  5. Step 5: Solve for x
    x = 198,696,137.94/16,045.38
  6. Step 6: Final answer
    x = 12,383.39

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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.