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Finding the Fourth Proportional to 12,005.96, 16,569.14 and 6,629.43

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Solution

The fourth proportional to 12,005.96, 16,569.14 and 6,629.43 is: 9,149.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.96 : 16,569.14 = 6,629.43 : x
  2. Step 2: Convert to fraction form
    12,005.96/16,569.14 = 6,629.43/x
  3. Step 3: Cross multiply
    12,005.96x = 16,569.14 × 6,629.43
  4. Step 4: Simplify right side
    12,005.96x = 109,843,920.64
  5. Step 5: Solve for x
    x = 109,843,920.64/12,005.96
  6. Step 6: Final answer
    x = 9,149.12

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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.