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Finding the Fourth Proportional to 24,405.16, 33,678.82 and 13,226.92

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Solution

The fourth proportional to 24,405.16, 33,678.82 and 13,226.92 is: 18,252.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,405.16 : 33,678.82 = 13,226.92 : x
  2. Step 2: Convert to fraction form
    24,405.16/33,678.82 = 13,226.92/x
  3. Step 3: Cross multiply
    24,405.16x = 33,678.82 × 13,226.92
  4. Step 4: Simplify right side
    24,405.16x = 445,467,057.83
  5. Step 5: Solve for x
    x = 445,467,057.83/24,405.16
  6. Step 6: Final answer
    x = 18,252.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.