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Finding the Fourth Proportional to 17,696.79, 24,420.66 and 9,739.77

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Solution

The fourth proportional to 17,696.79, 24,420.66 and 9,739.77 is: 13,440.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,696.79 : 24,420.66 = 9,739.77 : x
  2. Step 2: Convert to fraction form
    17,696.79/24,420.66 = 9,739.77/x
  3. Step 3: Cross multiply
    17,696.79x = 24,420.66 × 9,739.77
  4. Step 4: Simplify right side
    17,696.79x = 237,851,611.65
  5. Step 5: Solve for x
    x = 237,851,611.65/17,696.79
  6. Step 6: Final answer
    x = 13,440.38

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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.