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Finding the Fourth Proportional to 12,180.81, 16,809.84 and 6,875.67

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Solution

The fourth proportional to 12,180.81, 16,809.84 and 6,875.67 is: 9,488.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,180.81 : 16,809.84 = 6,875.67 : x
  2. Step 2: Convert to fraction form
    12,180.81/16,809.84 = 6,875.67/x
  3. Step 3: Cross multiply
    12,180.81x = 16,809.84 × 6,875.67
  4. Step 4: Simplify right side
    12,180.81x = 115,578,912.59
  5. Step 5: Solve for x
    x = 115,578,912.59/12,180.81
  6. Step 6: Final answer
    x = 9,488.61

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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.