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Finding the Fourth Proportional to 12,873.86, 17,764.45 and 7,207.82

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Solution

The fourth proportional to 12,873.86, 17,764.45 and 7,207.82 is: 9,945.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,873.86 : 17,764.45 = 7,207.82 : x
  2. Step 2: Convert to fraction form
    12,873.86/17,764.45 = 7,207.82/x
  3. Step 3: Cross multiply
    12,873.86x = 17,764.45 × 7,207.82
  4. Step 4: Simplify right side
    12,873.86x = 128,042,958.00
  5. Step 5: Solve for x
    x = 128,042,958.00/12,873.86
  6. Step 6: Final answer
    x = 9,945.96

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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.