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Finding the Fourth Proportional to 26,452.67, 39,694.59 and 9,824.40

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Solution

The fourth proportional to 26,452.67, 39,694.59 and 9,824.40 is: 14,742.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,452.67 : 39,694.59 = 9,824.40 : x
  2. Step 2: Convert to fraction form
    26,452.67/39,694.59 = 9,824.40/x
  3. Step 3: Cross multiply
    26,452.67x = 39,694.59 × 9,824.40
  4. Step 4: Simplify right side
    26,452.67x = 389,975,530.00
  5. Step 5: Solve for x
    x = 389,975,530.00/26,452.67
  6. Step 6: Final answer
    x = 14,742.39

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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.