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Finding the Fourth Proportional to 27,806.70, 41,714.10 and 9,087.60

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Solution

The fourth proportional to 27,806.70, 41,714.10 and 9,087.60 is: 13,632.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,806.70 : 41,714.10 = 9,087.60 : x
  2. Step 2: Convert to fraction form
    27,806.70/41,714.10 = 9,087.60/x
  3. Step 3: Cross multiply
    27,806.70x = 41,714.10 × 9,087.60
  4. Step 4: Simplify right side
    27,806.70x = 379,081,055.16
  5. Step 5: Solve for x
    x = 379,081,055.16/27,806.70
  6. Step 6: Final answer
    x = 13,632.72

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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.