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Finding the Fourth Proportional to 11,599.49, 17,384.64 and 8,318.99

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Solution

The fourth proportional to 11,599.49, 17,384.64 and 8,318.99 is: 12,468.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.49 : 17,384.64 = 8,318.99 : x
  2. Step 2: Convert to fraction form
    11,599.49/17,384.64 = 8,318.99/x
  3. Step 3: Cross multiply
    11,599.49x = 17,384.64 × 8,318.99
  4. Step 4: Simplify right side
    11,599.49x = 144,622,559.39
  5. Step 5: Solve for x
    x = 144,622,559.39/11,599.49
  6. Step 6: Final answer
    x = 12,468.02

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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.