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Finding the Fourth Proportional to 16,538.80, 24,772.56 and 7,760.56

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Solution

The fourth proportional to 16,538.80, 24,772.56 and 7,760.56 is: 11,624.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.80 : 24,772.56 = 7,760.56 : x
  2. Step 2: Convert to fraction form
    16,538.80/24,772.56 = 7,760.56/x
  3. Step 3: Cross multiply
    16,538.80x = 24,772.56 × 7,760.56
  4. Step 4: Simplify right side
    16,538.80x = 192,248,938.23
  5. Step 5: Solve for x
    x = 192,248,938.23/16,538.80
  6. Step 6: Final answer
    x = 11,624.12

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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.