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Finding the Fourth Proportional to 18,315.12, 27,456.48 and 8,949.90

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Solution

The fourth proportional to 18,315.12, 27,456.48 and 8,949.90 is: 13,416.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,315.12 : 27,456.48 = 8,949.90 : x
  2. Step 2: Convert to fraction form
    18,315.12/27,456.48 = 8,949.90/x
  3. Step 3: Cross multiply
    18,315.12x = 27,456.48 × 8,949.90
  4. Step 4: Simplify right side
    18,315.12x = 245,732,750.35
  5. Step 5: Solve for x
    x = 245,732,750.35/18,315.12
  6. Step 6: Final answer
    x = 13,416.93

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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.