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Finding the Fourth Proportional to 14,566.46, 21,836.73 and 6,771.02

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Solution

The fourth proportional to 14,566.46, 21,836.73 and 6,771.02 is: 10,150.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,566.46 : 21,836.73 = 6,771.02 : x
  2. Step 2: Convert to fraction form
    14,566.46/21,836.73 = 6,771.02/x
  3. Step 3: Cross multiply
    14,566.46x = 21,836.73 × 6,771.02
  4. Step 4: Simplify right side
    14,566.46x = 147,856,935.56
  5. Step 5: Solve for x
    x = 147,856,935.56/14,566.46
  6. Step 6: Final answer
    x = 10,150.51

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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.