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Finding the Fourth Proportional to 12,174.65, 18,272.34 and 4,784.28

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Solution

The fourth proportional to 12,174.65, 18,272.34 and 4,784.28 is: 7,180.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.65 : 18,272.34 = 4,784.28 : x
  2. Step 2: Convert to fraction form
    12,174.65/18,272.34 = 4,784.28/x
  3. Step 3: Cross multiply
    12,174.65x = 18,272.34 × 4,784.28
  4. Step 4: Simplify right side
    12,174.65x = 87,419,990.82
  5. Step 5: Solve for x
    x = 87,419,990.82/12,174.65
  6. Step 6: Final answer
    x = 7,180.49

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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.