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Finding the Fourth Proportional to 27,644.48, 41,468.64 and 9,176

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Solution

The fourth proportional to 27,644.48, 41,468.64 and 9,176 is: 13,764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,644.48 : 41,468.64 = 9,176 : x
  2. Step 2: Convert to fraction form
    27,644.48/41,468.64 = 9,176/x
  3. Step 3: Cross multiply
    27,644.48x = 41,468.64 × 9,176
  4. Step 4: Simplify right side
    27,644.48x = 380,516,240.64
  5. Step 5: Solve for x
    x = 380,516,240.64/27,644.48
  6. Step 6: Final answer
    x = 13,764.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.