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Finding the Fourth Proportional to 14,562.56, 21,843.64 and 10,270.60

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Solution

The fourth proportional to 14,562.56, 21,843.64 and 10,270.60 is: 15,405.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562.56 : 21,843.64 = 10,270.60 : x
  2. Step 2: Convert to fraction form
    14,562.56/21,843.64 = 10,270.60/x
  3. Step 3: Cross multiply
    14,562.56x = 21,843.64 × 10,270.60
  4. Step 4: Simplify right side
    14,562.56x = 224,347,288.98
  5. Step 5: Solve for x
    x = 224,347,288.98/14,562.56
  6. Step 6: Final answer
    x = 15,405.76

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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.