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Finding the Fourth Proportional to 12,082.35, 16,665.97 and 8,730.09

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Solution

The fourth proportional to 12,082.35, 16,665.97 and 8,730.09 is: 12,041.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.35 : 16,665.97 = 8,730.09 : x
  2. Step 2: Convert to fraction form
    12,082.35/16,665.97 = 8,730.09/x
  3. Step 3: Cross multiply
    12,082.35x = 16,665.97 × 8,730.09
  4. Step 4: Simplify right side
    12,082.35x = 145,495,291.06
  5. Step 5: Solve for x
    x = 145,495,291.06/12,082.35
  6. Step 6: Final answer
    x = 12,041.97

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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.