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Finding the Fourth Proportional to 18,538.86, 27,802.83 and 9,768.99

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Solution

The fourth proportional to 18,538.86, 27,802.83 and 9,768.99 is: 14,650.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,538.86 : 27,802.83 = 9,768.99 : x
  2. Step 2: Convert to fraction form
    18,538.86/27,802.83 = 9,768.99/x
  3. Step 3: Cross multiply
    18,538.86x = 27,802.83 × 9,768.99
  4. Step 4: Simplify right side
    18,538.86x = 271,605,568.24
  5. Step 5: Solve for x
    x = 271,605,568.24/18,538.86
  6. Step 6: Final answer
    x = 14,650.61

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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.