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Finding the Fourth Proportional to 17,622.26, 24,317 and 10,548.54

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Solution

The fourth proportional to 17,622.26, 24,317 and 10,548.54 is: 14,555.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,622.26 : 24,317 = 10,548.54 : x
  2. Step 2: Convert to fraction form
    17,622.26/24,317 = 10,548.54/x
  3. Step 3: Cross multiply
    17,622.26x = 24,317 × 10,548.54
  4. Step 4: Simplify right side
    17,622.26x = 256,508,847.18
  5. Step 5: Solve for x
    x = 256,508,847.18/17,622.26
  6. Step 6: Final answer
    x = 14,555.96

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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.