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Finding the Fourth Proportional to 24,078.31, 36,104.19 and 7,433.74

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Solution

The fourth proportional to 24,078.31, 36,104.19 and 7,433.74 is: 11,146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,078.31 : 36,104.19 = 7,433.74 : x
  2. Step 2: Convert to fraction form
    24,078.31/36,104.19 = 7,433.74/x
  3. Step 3: Cross multiply
    24,078.31x = 36,104.19 × 7,433.74
  4. Step 4: Simplify right side
    24,078.31x = 268,389,161.37
  5. Step 5: Solve for x
    x = 268,389,161.37/24,078.31
  6. Step 6: Final answer
    x = 11,146.51

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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.