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Finding the Fourth Proportional to 27,460.11, 37,899 and 17,389.47

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Solution

The fourth proportional to 27,460.11, 37,899 and 17,389.47 is: 24,000.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,460.11 : 37,899 = 17,389.47 : x
  2. Step 2: Convert to fraction form
    27,460.11/37,899 = 17,389.47/x
  3. Step 3: Cross multiply
    27,460.11x = 37,899 × 17,389.47
  4. Step 4: Simplify right side
    27,460.11x = 659,043,523.53
  5. Step 5: Solve for x
    x = 659,043,523.53/27,460.11
  6. Step 6: Final answer
    x = 24,000.03

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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.