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Finding the Fourth Proportional to 18,356.20, 27,537.18 and 10,969

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Solution

The fourth proportional to 18,356.20, 27,537.18 and 10,969 is: 16,455.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,356.20 : 27,537.18 = 10,969 : x
  2. Step 2: Convert to fraction form
    18,356.20/27,537.18 = 10,969/x
  3. Step 3: Cross multiply
    18,356.20x = 27,537.18 × 10,969
  4. Step 4: Simplify right side
    18,356.20x = 302,055,327.42
  5. Step 5: Solve for x
    x = 302,055,327.42/18,356.20
  6. Step 6: Final answer
    x = 16,455.22

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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.