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Finding the Fourth Proportional to 14,455.94, 21,684.00 and 5,096.14

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Solution

The fourth proportional to 14,455.94, 21,684.00 and 5,096.14 is: 7,644.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,455.94 : 21,684.00 = 5,096.14 : x
  2. Step 2: Convert to fraction form
    14,455.94/21,684.00 = 5,096.14/x
  3. Step 3: Cross multiply
    14,455.94x = 21,684.00 × 5,096.14
  4. Step 4: Simplify right side
    14,455.94x = 110,504,725.65
  5. Step 5: Solve for x
    x = 110,504,725.65/14,455.94
  6. Step 6: Final answer
    x = 7,644.24

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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.