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Finding the Fourth Proportional to 24,527.59, 36,791.73 and 6,997.42

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Solution

The fourth proportional to 24,527.59, 36,791.73 and 6,997.42 is: 10,496.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,527.59 : 36,791.73 = 6,997.42 : x
  2. Step 2: Convert to fraction form
    24,527.59/36,791.73 = 6,997.42/x
  3. Step 3: Cross multiply
    24,527.59x = 36,791.73 × 6,997.42
  4. Step 4: Simplify right side
    24,527.59x = 257,447,187.34
  5. Step 5: Solve for x
    x = 257,447,187.34/24,527.59
  6. Step 6: Final answer
    x = 10,496.23

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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.