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Finding the Fourth Proportional to 12,775.68, 17,630.61 and 7,186.68

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Solution

The fourth proportional to 12,775.68, 17,630.61 and 7,186.68 is: 9,917.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775.68 : 17,630.61 = 7,186.68 : x
  2. Step 2: Convert to fraction form
    12,775.68/17,630.61 = 7,186.68/x
  3. Step 3: Cross multiply
    12,775.68x = 17,630.61 × 7,186.68
  4. Step 4: Simplify right side
    12,775.68x = 126,705,552.27
  5. Step 5: Solve for x
    x = 126,705,552.27/12,775.68
  6. Step 6: Final answer
    x = 9,917.71

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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.