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Finding the Fourth Proportional to 24,536.80, 36,791.76 and 7,665.17

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Solution

The fourth proportional to 24,536.80, 36,791.76 and 7,665.17 is: 11,493.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,536.80 : 36,791.76 = 7,665.17 : x
  2. Step 2: Convert to fraction form
    24,536.80/36,791.76 = 7,665.17/x
  3. Step 3: Cross multiply
    24,536.80x = 36,791.76 × 7,665.17
  4. Step 4: Simplify right side
    24,536.80x = 282,015,095.00
  5. Step 5: Solve for x
    x = 282,015,095.00/24,536.80
  6. Step 6: Final answer
    x = 11,493.56

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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.