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Finding the Fourth Proportional to 12,576.40, 18,861.44 and 5,182.92

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Solution

The fourth proportional to 12,576.40, 18,861.44 and 5,182.92 is: 7,773.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.40 : 18,861.44 = 5,182.92 : x
  2. Step 2: Convert to fraction form
    12,576.40/18,861.44 = 5,182.92/x
  3. Step 3: Cross multiply
    12,576.40x = 18,861.44 × 5,182.92
  4. Step 4: Simplify right side
    12,576.40x = 97,757,334.60
  5. Step 5: Solve for x
    x = 97,757,334.60/12,576.40
  6. Step 6: Final answer
    x = 7,773.08

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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.