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Finding the Fourth Proportional to 18,476.24, 27,703.20 and 7,384.64

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Solution

The fourth proportional to 18,476.24, 27,703.20 and 7,384.64 is: 11,072.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,476.24 : 27,703.20 = 7,384.64 : x
  2. Step 2: Convert to fraction form
    18,476.24/27,703.20 = 7,384.64/x
  3. Step 3: Cross multiply
    18,476.24x = 27,703.20 × 7,384.64
  4. Step 4: Simplify right side
    18,476.24x = 204,578,158.85
  5. Step 5: Solve for x
    x = 204,578,158.85/18,476.24
  6. Step 6: Final answer
    x = 11,072.50

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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.