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Finding the Fourth Proportional to 18,509.80, 27,764.68 and 6,029.81

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Solution

The fourth proportional to 18,509.80, 27,764.68 and 6,029.81 is: 9,044.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,509.80 : 27,764.68 = 6,029.81 : x
  2. Step 2: Convert to fraction form
    18,509.80/27,764.68 = 6,029.81/x
  3. Step 3: Cross multiply
    18,509.80x = 27,764.68 × 6,029.81
  4. Step 4: Simplify right side
    18,509.80x = 167,415,665.88
  5. Step 5: Solve for x
    x = 167,415,665.88/18,509.80
  6. Step 6: Final answer
    x = 9,044.70

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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.