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Finding the Fourth Proportional to 16,624.50, 24,936.72 and 9,694.14

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Solution

The fourth proportional to 16,624.50, 24,936.72 and 9,694.14 is: 14,541.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,624.50 : 24,936.72 = 9,694.14 : x
  2. Step 2: Convert to fraction form
    16,624.50/24,936.72 = 9,694.14/x
  3. Step 3: Cross multiply
    16,624.50x = 24,936.72 × 9,694.14
  4. Step 4: Simplify right side
    16,624.50x = 241,740,054.82
  5. Step 5: Solve for x
    x = 241,740,054.82/16,624.50
  6. Step 6: Final answer
    x = 14,541.19

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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.