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Finding the Fourth Proportional to 24,861.28, 37,277.64 and 8,216.72

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Solution

The fourth proportional to 24,861.28, 37,277.64 and 8,216.72 is: 12,320.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,861.28 : 37,277.64 = 8,216.72 : x
  2. Step 2: Convert to fraction form
    24,861.28/37,277.64 = 8,216.72/x
  3. Step 3: Cross multiply
    24,861.28x = 37,277.64 × 8,216.72
  4. Step 4: Simplify right side
    24,861.28x = 306,299,930.14
  5. Step 5: Solve for x
    x = 306,299,930.14/24,861.28
  6. Step 6: Final answer
    x = 12,320.36

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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.