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Finding the Fourth Proportional to 27,111.24, 37,412.82 and 15,174

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Solution

The fourth proportional to 27,111.24, 37,412.82 and 15,174 is: 20,939.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,111.24 : 37,412.82 = 15,174 : x
  2. Step 2: Convert to fraction form
    27,111.24/37,412.82 = 15,174/x
  3. Step 3: Cross multiply
    27,111.24x = 37,412.82 × 15,174
  4. Step 4: Simplify right side
    27,111.24x = 567,702,130.68
  5. Step 5: Solve for x
    x = 567,702,130.68/27,111.24
  6. Step 6: Final answer
    x = 20,939.73

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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.