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Finding the Fourth Proportional to 17,635.76, 24,336.39 and 9,677.36

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Solution

The fourth proportional to 17,635.76, 24,336.39 and 9,677.36 is: 13,354.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,635.76 : 24,336.39 = 9,677.36 : x
  2. Step 2: Convert to fraction form
    17,635.76/24,336.39 = 9,677.36/x
  3. Step 3: Cross multiply
    17,635.76x = 24,336.39 × 9,677.36
  4. Step 4: Simplify right side
    17,635.76x = 235,512,007.13
  5. Step 5: Solve for x
    x = 235,512,007.13/17,635.76
  6. Step 6: Final answer
    x = 13,354.23

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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.