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Finding the Fourth Proportional to 12,347.80, 18,529.80 and 7,082.80

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Solution

The fourth proportional to 12,347.80, 18,529.80 and 7,082.80 is: 10,628.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.80 : 18,529.80 = 7,082.80 : x
  2. Step 2: Convert to fraction form
    12,347.80/18,529.80 = 7,082.80/x
  3. Step 3: Cross multiply
    12,347.80x = 18,529.80 × 7,082.80
  4. Step 4: Simplify right side
    12,347.80x = 131,242,867.44
  5. Step 5: Solve for x
    x = 131,242,867.44/12,347.80
  6. Step 6: Final answer
    x = 10,628.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.