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Finding the Fourth Proportional to 12,780.66, 17,633.24 and 7,190.58

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Solution

The fourth proportional to 12,780.66, 17,633.24 and 7,190.58 is: 9,920.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.66 : 17,633.24 = 7,190.58 : x
  2. Step 2: Convert to fraction form
    12,780.66/17,633.24 = 7,190.58/x
  3. Step 3: Cross multiply
    12,780.66x = 17,633.24 × 7,190.58
  4. Step 4: Simplify right side
    12,780.66x = 126,793,222.88
  5. Step 5: Solve for x
    x = 126,793,222.88/12,780.66
  6. Step 6: Final answer
    x = 9,920.71

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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.