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Finding the Fourth Proportional to 24,527.84, 36,791.76 and 6,997.73

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Solution

The fourth proportional to 24,527.84, 36,791.76 and 6,997.73 is: 10,496.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,527.84 : 36,791.76 = 6,997.73 : x
  2. Step 2: Convert to fraction form
    24,527.84/36,791.76 = 6,997.73/x
  3. Step 3: Cross multiply
    24,527.84x = 36,791.76 × 6,997.73
  4. Step 4: Simplify right side
    24,527.84x = 257,458,802.70
  5. Step 5: Solve for x
    x = 257,458,802.70/24,527.84
  6. Step 6: Final answer
    x = 10,496.60

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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.