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Finding the Fourth Proportional to 27,458.85, 41,180.19 and 11,663.75

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Solution

The fourth proportional to 27,458.85, 41,180.19 and 11,663.75 is: 17,492.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,458.85 : 41,180.19 = 11,663.75 : x
  2. Step 2: Convert to fraction form
    27,458.85/41,180.19 = 11,663.75/x
  3. Step 3: Cross multiply
    27,458.85x = 41,180.19 × 11,663.75
  4. Step 4: Simplify right side
    27,458.85x = 480,315,484.85
  5. Step 5: Solve for x
    x = 480,315,484.85/27,458.85
  6. Step 6: Final answer
    x = 17,492.20

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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.