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Finding the Fourth Proportional to 12,137.87, 16,749.98 and 6,832.64

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Solution

The fourth proportional to 12,137.87, 16,749.98 and 6,832.64 is: 9,428.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.87 : 16,749.98 = 6,832.64 : x
  2. Step 2: Convert to fraction form
    12,137.87/16,749.98 = 6,832.64/x
  3. Step 3: Cross multiply
    12,137.87x = 16,749.98 × 6,832.64
  4. Step 4: Simplify right side
    12,137.87x = 114,446,583.35
  5. Step 5: Solve for x
    x = 114,446,583.35/12,137.87
  6. Step 6: Final answer
    x = 9,428.89

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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.