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Finding the Fourth Proportional to 17,696.10, 24,421.38 and 9,738.84

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Solution

The fourth proportional to 17,696.10, 24,421.38 and 9,738.84 is: 13,440.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,696.10 : 24,421.38 = 9,738.84 : x
  2. Step 2: Convert to fraction form
    17,696.10/24,421.38 = 9,738.84/x
  3. Step 3: Cross multiply
    17,696.10x = 24,421.38 × 9,738.84
  4. Step 4: Simplify right side
    17,696.10x = 237,835,912.40
  5. Step 5: Solve for x
    x = 237,835,912.40/17,696.10
  6. Step 6: Final answer
    x = 13,440.02

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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.