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Finding the Fourth Proportional to 27,841.76, 41,707.01 and 16,742.37

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Solution

The fourth proportional to 27,841.76, 41,707.01 and 16,742.37 is: 25,080.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,841.76 : 41,707.01 = 16,742.37 : x
  2. Step 2: Convert to fraction form
    27,841.76/41,707.01 = 16,742.37/x
  3. Step 3: Cross multiply
    27,841.76x = 41,707.01 × 16,742.37
  4. Step 4: Simplify right side
    27,841.76x = 698,274,109.30
  5. Step 5: Solve for x
    x = 698,274,109.30/27,841.76
  6. Step 6: Final answer
    x = 25,080.10

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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.