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Finding the Fourth Proportional to 26,412.68, 39,609.84 and 7,687.64

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Solution

The fourth proportional to 26,412.68, 39,609.84 and 7,687.64 is: 11,528.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,412.68 : 39,609.84 = 7,687.64 : x
  2. Step 2: Convert to fraction form
    26,412.68/39,609.84 = 7,687.64/x
  3. Step 3: Cross multiply
    26,412.68x = 39,609.84 × 7,687.64
  4. Step 4: Simplify right side
    26,412.68x = 304,506,190.38
  5. Step 5: Solve for x
    x = 304,506,190.38/26,412.68
  6. Step 6: Final answer
    x = 11,528.79

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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.