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Finding the Fourth Proportional to 17,696.69, 24,421.43 and 9,738.91

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Solution

The fourth proportional to 17,696.69, 24,421.43 and 9,738.91 is: 13,439.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,696.69 : 24,421.43 = 9,738.91 : x
  2. Step 2: Convert to fraction form
    17,696.69/24,421.43 = 9,738.91/x
  3. Step 3: Cross multiply
    17,696.69x = 24,421.43 × 9,738.91
  4. Step 4: Simplify right side
    17,696.69x = 237,838,136.32
  5. Step 5: Solve for x
    x = 237,838,136.32/17,696.69
  6. Step 6: Final answer
    x = 13,439.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.