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Finding the Fourth Proportional to 12,384.48, 18,576.90 and 3,617.40

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Solution

The fourth proportional to 12,384.48, 18,576.90 and 3,617.40 is: 5,426.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.48 : 18,576.90 = 3,617.40 : x
  2. Step 2: Convert to fraction form
    12,384.48/18,576.90 = 3,617.40/x
  3. Step 3: Cross multiply
    12,384.48x = 18,576.90 × 3,617.40
  4. Step 4: Simplify right side
    12,384.48x = 67,200,078.06
  5. Step 5: Solve for x
    x = 67,200,078.06/12,384.48
  6. Step 6: Final answer
    x = 5,426.15

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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.