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Finding the Fourth Proportional to 27,164.88, 40,751.64 and 11,582.64

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Solution

The fourth proportional to 27,164.88, 40,751.64 and 11,582.64 is: 17,375.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,164.88 : 40,751.64 = 11,582.64 : x
  2. Step 2: Convert to fraction form
    27,164.88/40,751.64 = 11,582.64/x
  3. Step 3: Cross multiply
    27,164.88x = 40,751.64 × 11,582.64
  4. Step 4: Simplify right side
    27,164.88x = 472,011,575.53
  5. Step 5: Solve for x
    x = 472,011,575.53/27,164.88
  6. Step 6: Final answer
    x = 17,375.80

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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.