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Finding the Fourth Proportional to 12,006.84, 16,569.69 and 6,629.26

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Solution

The fourth proportional to 12,006.84, 16,569.69 and 6,629.26 is: 9,148.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.84 : 16,569.69 = 6,629.26 : x
  2. Step 2: Convert to fraction form
    12,006.84/16,569.69 = 6,629.26/x
  3. Step 3: Cross multiply
    12,006.84x = 16,569.69 × 6,629.26
  4. Step 4: Simplify right side
    12,006.84x = 109,844,785.20
  5. Step 5: Solve for x
    x = 109,844,785.20/12,006.84
  6. Step 6: Final answer
    x = 9,148.52

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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.