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Finding the Fourth Proportional to 24,450.12, 36,674.94 and 7,809.96

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Solution

The fourth proportional to 24,450.12, 36,674.94 and 7,809.96 is: 11,714.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,450.12 : 36,674.94 = 7,809.96 : x
  2. Step 2: Convert to fraction form
    24,450.12/36,674.94 = 7,809.96/x
  3. Step 3: Cross multiply
    24,450.12x = 36,674.94 × 7,809.96
  4. Step 4: Simplify right side
    24,450.12x = 286,429,814.40
  5. Step 5: Solve for x
    x = 286,429,814.40/24,450.12
  6. Step 6: Final answer
    x = 11,714.86

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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.