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Finding the Fourth Proportional to 12,188.53, 16,819 and 9,676.72

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Solution

The fourth proportional to 12,188.53, 16,819 and 9,676.72 is: 13,352.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.53 : 16,819 = 9,676.72 : x
  2. Step 2: Convert to fraction form
    12,188.53/16,819 = 9,676.72/x
  3. Step 3: Cross multiply
    12,188.53x = 16,819 × 9,676.72
  4. Step 4: Simplify right side
    12,188.53x = 162,752,753.68
  5. Step 5: Solve for x
    x = 162,752,753.68/12,188.53
  6. Step 6: Final answer
    x = 13,352.94

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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.