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Finding the Fourth Proportional to 18,456.66, 27,643.68 and 8,581.14

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Solution

The fourth proportional to 18,456.66, 27,643.68 and 8,581.14 is: 12,852.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,456.66 : 27,643.68 = 8,581.14 : x
  2. Step 2: Convert to fraction form
    18,456.66/27,643.68 = 8,581.14/x
  3. Step 3: Cross multiply
    18,456.66x = 27,643.68 × 8,581.14
  4. Step 4: Simplify right side
    18,456.66x = 237,214,288.20
  5. Step 5: Solve for x
    x = 237,214,288.20/18,456.66
  6. Step 6: Final answer
    x = 12,852.50

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Why These Related Problems?

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