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Finding the Fourth Proportional to 12,131, 16,741.56 and 7,354.24

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Solution

The fourth proportional to 12,131, 16,741.56 and 7,354.24 is: 10,149.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,131 : 16,741.56 = 7,354.24 : x
  2. Step 2: Convert to fraction form
    12,131/16,741.56 = 7,354.24/x
  3. Step 3: Cross multiply
    12,131x = 16,741.56 × 7,354.24
  4. Step 4: Simplify right side
    12,131x = 123,121,450.21
  5. Step 5: Solve for x
    x = 123,121,450.21/12,131
  6. Step 6: Final answer
    x = 10,149.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.