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Finding the Fourth Proportional to 17,495.38, 24,143.70 and 11,211.40

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Solution

The fourth proportional to 17,495.38, 24,143.70 and 11,211.40 is: 15,471.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,495.38 : 24,143.70 = 11,211.40 : x
  2. Step 2: Convert to fraction form
    17,495.38/24,143.70 = 11,211.40/x
  3. Step 3: Cross multiply
    17,495.38x = 24,143.70 × 11,211.40
  4. Step 4: Simplify right side
    17,495.38x = 270,684,678.18
  5. Step 5: Solve for x
    x = 270,684,678.18/17,495.38
  6. Step 6: Final answer
    x = 15,471.78

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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.