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Finding the Fourth Proportional to 26,741, 40,080.18 and 9,195.32

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Solution

The fourth proportional to 26,741, 40,080.18 and 9,195.32 is: 13,782.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,741 : 40,080.18 = 9,195.32 : x
  2. Step 2: Convert to fraction form
    26,741/40,080.18 = 9,195.32/x
  3. Step 3: Cross multiply
    26,741x = 40,080.18 × 9,195.32
  4. Step 4: Simplify right side
    26,741x = 368,550,080.76
  5. Step 5: Solve for x
    x = 368,550,080.76/26,741
  6. Step 6: Final answer
    x = 13,782.21

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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.