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Finding the Fourth Proportional to 17,538.38, 24,210.93 and 11,173.70

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Solution

The fourth proportional to 17,538.38, 24,210.93 and 11,173.70 is: 15,424.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538.38 : 24,210.93 = 11,173.70 : x
  2. Step 2: Convert to fraction form
    17,538.38/24,210.93 = 11,173.70/x
  3. Step 3: Cross multiply
    17,538.38x = 24,210.93 × 11,173.70
  4. Step 4: Simplify right side
    17,538.38x = 270,525,491.62
  5. Step 5: Solve for x
    x = 270,525,491.62/17,538.38
  6. Step 6: Final answer
    x = 15,424.78

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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.