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Finding the Fourth Proportional to 17,696.38, 24,420.40 and 9,738.59

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Solution

The fourth proportional to 17,696.38, 24,420.40 and 9,738.59 is: 13,438.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,696.38 : 24,420.40 = 9,738.59 : x
  2. Step 2: Convert to fraction form
    17,696.38/24,420.40 = 9,738.59/x
  3. Step 3: Cross multiply
    17,696.38x = 24,420.40 × 9,738.59
  4. Step 4: Simplify right side
    17,696.38x = 237,820,171.57
  5. Step 5: Solve for x
    x = 237,820,171.57/17,696.38
  6. Step 6: Final answer
    x = 13,438.92

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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.