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Finding the Fourth Proportional to 16,534.44, 24,810.78 and 7,174.56

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Solution

The fourth proportional to 16,534.44, 24,810.78 and 7,174.56 is: 10,765.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,534.44 : 24,810.78 = 7,174.56 : x
  2. Step 2: Convert to fraction form
    16,534.44/24,810.78 = 7,174.56/x
  3. Step 3: Cross multiply
    16,534.44x = 24,810.78 × 7,174.56
  4. Step 4: Simplify right side
    16,534.44x = 178,006,429.76
  5. Step 5: Solve for x
    x = 178,006,429.76/16,534.44
  6. Step 6: Final answer
    x = 10,765.80

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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.