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Finding the Fourth Proportional to 24,450.14, 36,674.91 and 7,809.95

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Solution

The fourth proportional to 24,450.14, 36,674.91 and 7,809.95 is: 11,714.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,450.14 : 36,674.91 = 7,809.95 : x
  2. Step 2: Convert to fraction form
    24,450.14/36,674.91 = 7,809.95/x
  3. Step 3: Cross multiply
    24,450.14x = 36,674.91 × 7,809.95
  4. Step 4: Simplify right side
    24,450.14x = 286,429,029.98
  5. Step 5: Solve for x
    x = 286,429,029.98/24,450.14
  6. Step 6: Final answer
    x = 11,714.82

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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.