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Finding the Fourth Proportional to 18,456.46, 27,689.09 and 5,976.50

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Solution

The fourth proportional to 18,456.46, 27,689.09 and 5,976.50 is: 8,966.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,456.46 : 27,689.09 = 5,976.50 : x
  2. Step 2: Convert to fraction form
    18,456.46/27,689.09 = 5,976.50/x
  3. Step 3: Cross multiply
    18,456.46x = 27,689.09 × 5,976.50
  4. Step 4: Simplify right side
    18,456.46x = 165,483,707.94
  5. Step 5: Solve for x
    x = 165,483,707.94/18,456.46
  6. Step 6: Final answer
    x = 8,966.17

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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.