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Finding the Fourth Proportional to 12,076.82, 18,095.21 and 8,549.40

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Solution

The fourth proportional to 12,076.82, 18,095.21 and 8,549.40 is: 12,809.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076.82 : 18,095.21 = 8,549.40 : x
  2. Step 2: Convert to fraction form
    12,076.82/18,095.21 = 8,549.40/x
  3. Step 3: Cross multiply
    12,076.82x = 18,095.21 × 8,549.40
  4. Step 4: Simplify right side
    12,076.82x = 154,703,188.37
  5. Step 5: Solve for x
    x = 154,703,188.37/12,076.82
  6. Step 6: Final answer
    x = 12,809.93

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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.