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Finding the Fourth Proportional to 12,148.56, 16,764.48 and 7,372.80

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Solution

The fourth proportional to 12,148.56, 16,764.48 and 7,372.80 is: 10,174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.56 : 16,764.48 = 7,372.80 : x
  2. Step 2: Convert to fraction form
    12,148.56/16,764.48 = 7,372.80/x
  3. Step 3: Cross multiply
    12,148.56x = 16,764.48 × 7,372.80
  4. Step 4: Simplify right side
    12,148.56x = 123,601,158.14
  5. Step 5: Solve for x
    x = 123,601,158.14/12,148.56
  6. Step 6: Final answer
    x = 10,174.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.