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Finding the Fourth Proportional to 24,526.25, 36,789.73 and 6,996.09

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Solution

The fourth proportional to 24,526.25, 36,789.73 and 6,996.09 is: 10,494.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,526.25 : 36,789.73 = 6,996.09 : x
  2. Step 2: Convert to fraction form
    24,526.25/36,789.73 = 6,996.09/x
  3. Step 3: Cross multiply
    24,526.25x = 36,789.73 × 6,996.09
  4. Step 4: Simplify right side
    24,526.25x = 257,384,262.16
  5. Step 5: Solve for x
    x = 257,384,262.16/24,526.25
  6. Step 6: Final answer
    x = 10,494.24

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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.