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Finding the Fourth Proportional to 17,635.23, 26,459.73 and 7,767.57

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Solution

The fourth proportional to 17,635.23, 26,459.73 and 7,767.57 is: 11,654.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,635.23 : 26,459.73 = 7,767.57 : x
  2. Step 2: Convert to fraction form
    17,635.23/26,459.73 = 7,767.57/x
  3. Step 3: Cross multiply
    17,635.23x = 26,459.73 × 7,767.57
  4. Step 4: Simplify right side
    17,635.23x = 205,527,804.96
  5. Step 5: Solve for x
    x = 205,527,804.96/17,635.23
  6. Step 6: Final answer
    x = 11,654.39

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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.