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Finding the Fourth Proportional to 27,042.16, 40,524.36 and 11,438.32

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Solution

The fourth proportional to 27,042.16, 40,524.36 and 11,438.32 is: 17,141.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,042.16 : 40,524.36 = 11,438.32 : x
  2. Step 2: Convert to fraction form
    27,042.16/40,524.36 = 11,438.32/x
  3. Step 3: Cross multiply
    27,042.16x = 40,524.36 × 11,438.32
  4. Step 4: Simplify right side
    27,042.16x = 463,530,597.48
  5. Step 5: Solve for x
    x = 463,530,597.48/27,042.16
  6. Step 6: Final answer
    x = 17,141.03

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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.