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Finding the Fourth Proportional to 27,663.28, 38,174.94 and 15,088

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Solution

The fourth proportional to 27,663.28, 38,174.94 and 15,088 is: 20,821.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,663.28 : 38,174.94 = 15,088 : x
  2. Step 2: Convert to fraction form
    27,663.28/38,174.94 = 15,088/x
  3. Step 3: Cross multiply
    27,663.28x = 38,174.94 × 15,088
  4. Step 4: Simplify right side
    27,663.28x = 575,983,494.72
  5. Step 5: Solve for x
    x = 575,983,494.72/27,663.28
  6. Step 6: Final answer
    x = 20,821.23

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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.