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Finding the Fourth Proportional to 27,707.96, 38,237.22 and 15,772.06

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Solution

The fourth proportional to 27,707.96, 38,237.22 and 15,772.06 is: 21,765.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,707.96 : 38,237.22 = 15,772.06 : x
  2. Step 2: Convert to fraction form
    27,707.96/38,237.22 = 15,772.06/x
  3. Step 3: Cross multiply
    27,707.96x = 38,237.22 × 15,772.06
  4. Step 4: Simplify right side
    27,707.96x = 603,079,632.48
  5. Step 5: Solve for x
    x = 603,079,632.48/27,707.96
  6. Step 6: Final answer
    x = 21,765.58

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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.