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Finding the Fourth Proportional to 12,006.63, 16,569.36 and 6,629.31

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Solution

The fourth proportional to 12,006.63, 16,569.36 and 6,629.31 is: 9,148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.63 : 16,569.36 = 6,629.31 : x
  2. Step 2: Convert to fraction form
    12,006.63/16,569.36 = 6,629.31/x
  3. Step 3: Cross multiply
    12,006.63x = 16,569.36 × 6,629.31
  4. Step 4: Simplify right side
    12,006.63x = 109,843,423.94
  5. Step 5: Solve for x
    x = 109,843,423.94/12,006.63
  6. Step 6: Final answer
    x = 9,148.56

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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.