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Finding the Fourth Proportional to 27,914.40, 41,858.40 and 16,231.20

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Solution

The fourth proportional to 27,914.40, 41,858.40 and 16,231.20 is: 24,339.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,914.40 : 41,858.40 = 16,231.20 : x
  2. Step 2: Convert to fraction form
    27,914.40/41,858.40 = 16,231.20/x
  3. Step 3: Cross multiply
    27,914.40x = 41,858.40 × 16,231.20
  4. Step 4: Simplify right side
    27,914.40x = 679,412,062.08
  5. Step 5: Solve for x
    x = 679,412,062.08/27,914.40
  6. Step 6: Final answer
    x = 24,339.12

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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.