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Finding the Fourth Proportional to 16,855.30, 23,264.94 and 9,784

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Solution

The fourth proportional to 16,855.30, 23,264.94 and 9,784 is: 13,504.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,855.30 : 23,264.94 = 9,784 : x
  2. Step 2: Convert to fraction form
    16,855.30/23,264.94 = 9,784/x
  3. Step 3: Cross multiply
    16,855.30x = 23,264.94 × 9,784
  4. Step 4: Simplify right side
    16,855.30x = 227,624,172.96
  5. Step 5: Solve for x
    x = 227,624,172.96/16,855.30
  6. Step 6: Final answer
    x = 13,504.61

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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.