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Finding the Fourth Proportional to 18,531.72, 27,806.94 and 9,297

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Solution

The fourth proportional to 18,531.72, 27,806.94 and 9,297 is: 13,950.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,531.72 : 27,806.94 = 9,297 : x
  2. Step 2: Convert to fraction form
    18,531.72/27,806.94 = 9,297/x
  3. Step 3: Cross multiply
    18,531.72x = 27,806.94 × 9,297
  4. Step 4: Simplify right side
    18,531.72x = 258,521,121.18
  5. Step 5: Solve for x
    x = 258,521,121.18/18,531.72
  6. Step 6: Final answer
    x = 13,950.20

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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.