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Finding the Fourth Proportional to 18,477.20, 27,706.72 and 10,578.52

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Solution

The fourth proportional to 18,477.20, 27,706.72 and 10,578.52 is: 15,862.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,477.20 : 27,706.72 = 10,578.52 : x
  2. Step 2: Convert to fraction form
    18,477.20/27,706.72 = 10,578.52/x
  3. Step 3: Cross multiply
    18,477.20x = 27,706.72 × 10,578.52
  4. Step 4: Simplify right side
    18,477.20x = 293,096,091.65
  5. Step 5: Solve for x
    x = 293,096,091.65/18,477.20
  6. Step 6: Final answer
    x = 15,862.58

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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.