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Finding the Fourth Proportional to 17,634.79, 26,459.07 and 7,767.13

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Solution

The fourth proportional to 17,634.79, 26,459.07 and 7,767.13 is: 11,653.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,634.79 : 26,459.07 = 7,767.13 : x
  2. Step 2: Convert to fraction form
    17,634.79/26,459.07 = 7,767.13/x
  3. Step 3: Cross multiply
    17,634.79x = 26,459.07 × 7,767.13
  4. Step 4: Simplify right side
    17,634.79x = 205,511,036.37
  5. Step 5: Solve for x
    x = 205,511,036.37/17,634.79
  6. Step 6: Final answer
    x = 11,653.73

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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.