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Finding the Fourth Proportional to 17,622.69, 24,317.39 and 9,664.85

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Solution

The fourth proportional to 17,622.69, 24,317.39 and 9,664.85 is: 13,336.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,622.69 : 24,317.39 = 9,664.85 : x
  2. Step 2: Convert to fraction form
    17,622.69/24,317.39 = 9,664.85/x
  3. Step 3: Cross multiply
    17,622.69x = 24,317.39 × 9,664.85
  4. Step 4: Simplify right side
    17,622.69x = 235,023,756.83
  5. Step 5: Solve for x
    x = 235,023,756.83/17,622.69
  6. Step 6: Final answer
    x = 13,336.43

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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.