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Finding the Fourth Proportional to 27,523.10, 37,997.64 and 18,119

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Solution

The fourth proportional to 27,523.10, 37,997.64 and 18,119 is: 25,014.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,523.10 : 37,997.64 = 18,119 : x
  2. Step 2: Convert to fraction form
    27,523.10/37,997.64 = 18,119/x
  3. Step 3: Cross multiply
    27,523.10x = 37,997.64 × 18,119
  4. Step 4: Simplify right side
    27,523.10x = 688,479,239.16
  5. Step 5: Solve for x
    x = 688,479,239.16/27,523.10
  6. Step 6: Final answer
    x = 25,014.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.