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Finding the Fourth Proportional to 17,707.93, 26,566.48 and 7,844.86

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Solution

The fourth proportional to 17,707.93, 26,566.48 and 7,844.86 is: 11,769.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,707.93 : 26,566.48 = 7,844.86 : x
  2. Step 2: Convert to fraction form
    17,707.93/26,566.48 = 7,844.86/x
  3. Step 3: Cross multiply
    17,707.93x = 26,566.48 × 7,844.86
  4. Step 4: Simplify right side
    17,707.93x = 208,410,359.31
  5. Step 5: Solve for x
    x = 208,410,359.31/17,707.93
  6. Step 6: Final answer
    x = 11,769.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.