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Finding the Fourth Proportional to 18,473, 27,709.50 and 7,384.64

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Solution

The fourth proportional to 18,473, 27,709.50 and 7,384.64 is: 11,076.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,473 : 27,709.50 = 7,384.64 : x
  2. Step 2: Convert to fraction form
    18,473/27,709.50 = 7,384.64/x
  3. Step 3: Cross multiply
    18,473x = 27,709.50 × 7,384.64
  4. Step 4: Simplify right side
    18,473x = 204,624,682.08
  5. Step 5: Solve for x
    x = 204,624,682.08/18,473
  6. Step 6: Final answer
    x = 11,076.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.