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Finding the Fourth Proportional to 24,431.85, 36,647.92 and 6,901.83

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Solution

The fourth proportional to 24,431.85, 36,647.92 and 6,901.83 is: 10,352.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,431.85 : 36,647.92 = 6,901.83 : x
  2. Step 2: Convert to fraction form
    24,431.85/36,647.92 = 6,901.83/x
  3. Step 3: Cross multiply
    24,431.85x = 36,647.92 × 6,901.83
  4. Step 4: Simplify right side
    24,431.85x = 252,937,713.69
  5. Step 5: Solve for x
    x = 252,937,713.69/24,431.85
  6. Step 6: Final answer
    x = 10,352.79

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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.