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Finding the Fourth Proportional to 12,049.69, 16,628.40 and 6,671.62

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Solution

The fourth proportional to 12,049.69, 16,628.40 and 6,671.62 is: 9,206.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049.69 : 16,628.40 = 6,671.62 : x
  2. Step 2: Convert to fraction form
    12,049.69/16,628.40 = 6,671.62/x
  3. Step 3: Cross multiply
    12,049.69x = 16,628.40 × 6,671.62
  4. Step 4: Simplify right side
    12,049.69x = 110,938,307.88
  5. Step 5: Solve for x
    x = 110,938,307.88/12,049.69
  6. Step 6: Final answer
    x = 9,206.73

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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.