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Finding the Fourth Proportional to 17,696.28, 24,420.16 and 9,738.48

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Solution

The fourth proportional to 17,696.28, 24,420.16 and 9,738.48 is: 13,438.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,696.28 : 24,420.16 = 9,738.48 : x
  2. Step 2: Convert to fraction form
    17,696.28/24,420.16 = 9,738.48/x
  3. Step 3: Cross multiply
    17,696.28x = 24,420.16 × 9,738.48
  4. Step 4: Simplify right side
    17,696.28x = 237,815,239.76
  5. Step 5: Solve for x
    x = 237,815,239.76/17,696.28
  6. Step 6: Final answer
    x = 13,438.71

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1.5x scale

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.