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Finding the Fourth Proportional to 12,082.84, 16,673.46 and 6,705.55

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Solution

The fourth proportional to 12,082.84, 16,673.46 and 6,705.55 is: 9,253.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.84 : 16,673.46 = 6,705.55 : x
  2. Step 2: Convert to fraction form
    12,082.84/16,673.46 = 6,705.55/x
  3. Step 3: Cross multiply
    12,082.84x = 16,673.46 × 6,705.55
  4. Step 4: Simplify right side
    12,082.84x = 111,804,719.70
  5. Step 5: Solve for x
    x = 111,804,719.70/12,082.84
  6. Step 6: Final answer
    x = 9,253.19

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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.