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Finding the Fourth Proportional to 27,709.70, 41,536.20 and 13,648.10

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Solution

The fourth proportional to 27,709.70, 41,536.20 and 13,648.10 is: 20,458.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,709.70 : 41,536.20 = 13,648.10 : x
  2. Step 2: Convert to fraction form
    27,709.70/41,536.20 = 13,648.10/x
  3. Step 3: Cross multiply
    27,709.70x = 41,536.20 × 13,648.10
  4. Step 4: Simplify right side
    27,709.70x = 566,890,211.22
  5. Step 5: Solve for x
    x = 566,890,211.22/27,709.70
  6. Step 6: Final answer
    x = 20,458.19

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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.