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Finding the Fourth Proportional to 27,912.64, 41,853.84 and 9,188.32

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Solution

The fourth proportional to 27,912.64, 41,853.84 and 9,188.32 is: 13,777.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,912.64 : 41,853.84 = 9,188.32 : x
  2. Step 2: Convert to fraction form
    27,912.64/41,853.84 = 9,188.32/x
  3. Step 3: Cross multiply
    27,912.64x = 41,853.84 × 9,188.32
  4. Step 4: Simplify right side
    27,912.64x = 384,566,475.15
  5. Step 5: Solve for x
    x = 384,566,475.15/27,912.64
  6. Step 6: Final answer
    x = 13,777.50

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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.