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Finding the Fourth Proportional to 17,022.96, 23,498.10 and 9,951.66

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Solution

The fourth proportional to 17,022.96, 23,498.10 and 9,951.66 is: 13,737.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,022.96 : 23,498.10 = 9,951.66 : x
  2. Step 2: Convert to fraction form
    17,022.96/23,498.10 = 9,951.66/x
  3. Step 3: Cross multiply
    17,022.96x = 23,498.10 × 9,951.66
  4. Step 4: Simplify right side
    17,022.96x = 233,845,101.85
  5. Step 5: Solve for x
    x = 233,845,101.85/17,022.96
  6. Step 6: Final answer
    x = 13,737.04

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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.