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Finding the Fourth Proportional to 14,562.64, 21,850.46 and 7,635.52

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Solution

The fourth proportional to 14,562.64, 21,850.46 and 7,635.52 is: 11,456.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562.64 : 21,850.46 = 7,635.52 : x
  2. Step 2: Convert to fraction form
    14,562.64/21,850.46 = 7,635.52/x
  3. Step 3: Cross multiply
    14,562.64x = 21,850.46 × 7,635.52
  4. Step 4: Simplify right side
    14,562.64x = 166,839,624.34
  5. Step 5: Solve for x
    x = 166,839,624.34/14,562.64
  6. Step 6: Final answer
    x = 11,456.69

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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.