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Finding the Fourth Proportional to 12,384.39, 18,576.59 and 5,358.66

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Solution

The fourth proportional to 12,384.39, 18,576.59 and 5,358.66 is: 8,037.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.39 : 18,576.59 = 5,358.66 : x
  2. Step 2: Convert to fraction form
    12,384.39/18,576.59 = 5,358.66/x
  3. Step 3: Cross multiply
    12,384.39x = 18,576.59 × 5,358.66
  4. Step 4: Simplify right side
    12,384.39x = 99,545,629.77
  5. Step 5: Solve for x
    x = 99,545,629.77/12,384.39
  6. Step 6: Final answer
    x = 8,037.99

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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.