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Finding the Fourth Proportional to 18,329.76, 27,491.20 and 5,182.04

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Solution

The fourth proportional to 18,329.76, 27,491.20 and 5,182.04 is: 7,772.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,329.76 : 27,491.20 = 5,182.04 : x
  2. Step 2: Convert to fraction form
    18,329.76/27,491.20 = 5,182.04/x
  3. Step 3: Cross multiply
    18,329.76x = 27,491.20 × 5,182.04
  4. Step 4: Simplify right side
    18,329.76x = 142,460,553.82
  5. Step 5: Solve for x
    x = 142,460,553.82/18,329.76
  6. Step 6: Final answer
    x = 7,772.09

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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.