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Finding the Fourth Proportional to 24,085.27, 36,131.82 and 7,441.42

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Solution

The fourth proportional to 24,085.27, 36,131.82 and 7,441.42 is: 11,163.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,085.27 : 36,131.82 = 7,441.42 : x
  2. Step 2: Convert to fraction form
    24,085.27/36,131.82 = 7,441.42/x
  3. Step 3: Cross multiply
    24,085.27x = 36,131.82 × 7,441.42
  4. Step 4: Simplify right side
    24,085.27x = 268,872,047.98
  5. Step 5: Solve for x
    x = 268,872,047.98/24,085.27
  6. Step 6: Final answer
    x = 11,163.34

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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.