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Finding the Fourth Proportional to 12,006.72, 16,569.27 and 8,037.31

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Solution

The fourth proportional to 12,006.72, 16,569.27 and 8,037.31 is: 11,091.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.72 : 16,569.27 = 8,037.31 : x
  2. Step 2: Convert to fraction form
    12,006.72/16,569.27 = 8,037.31/x
  3. Step 3: Cross multiply
    12,006.72x = 16,569.27 × 8,037.31
  4. Step 4: Simplify right side
    12,006.72x = 133,172,359.46
  5. Step 5: Solve for x
    x = 133,172,359.46/12,006.72
  6. Step 6: Final answer
    x = 11,091.49

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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.