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Finding the Fourth Proportional to 27,913.12, 41,843.44 and 9,432.16

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Solution

The fourth proportional to 27,913.12, 41,843.44 and 9,432.16 is: 14,139.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,913.12 : 41,843.44 = 9,432.16 : x
  2. Step 2: Convert to fraction form
    27,913.12/41,843.44 = 9,432.16/x
  3. Step 3: Cross multiply
    27,913.12x = 41,843.44 × 9,432.16
  4. Step 4: Simplify right side
    27,913.12x = 394,674,021.03
  5. Step 5: Solve for x
    x = 394,674,021.03/27,913.12
  6. Step 6: Final answer
    x = 14,139.37

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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.