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Finding the Fourth Proportional to 24,527.25, 36,791.23 and 6,997.09

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Solution

The fourth proportional to 24,527.25, 36,791.23 and 6,997.09 is: 10,495.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,527.25 : 36,791.23 = 6,997.09 : x
  2. Step 2: Convert to fraction form
    24,527.25/36,791.23 = 6,997.09/x
  3. Step 3: Cross multiply
    24,527.25x = 36,791.23 × 6,997.09
  4. Step 4: Simplify right side
    24,527.25x = 257,431,547.52
  5. Step 5: Solve for x
    x = 257,431,547.52/24,527.25
  6. Step 6: Final answer
    x = 10,495.74

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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.