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Finding the Fourth Proportional to 18,148.50, 27,234.90 and 7,762.68

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Solution

The fourth proportional to 18,148.50, 27,234.90 and 7,762.68 is: 11,649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,148.50 : 27,234.90 = 7,762.68 : x
  2. Step 2: Convert to fraction form
    18,148.50/27,234.90 = 7,762.68/x
  3. Step 3: Cross multiply
    18,148.50x = 27,234.90 × 7,762.68
  4. Step 4: Simplify right side
    18,148.50x = 211,415,813.53
  5. Step 5: Solve for x
    x = 211,415,813.53/18,148.50
  6. Step 6: Final answer
    x = 11,649.22

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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.