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Finding the Fourth Proportional to 27,665.32, 38,174.82 and 15,728.68

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Solution

The fourth proportional to 27,665.32, 38,174.82 and 15,728.68 is: 21,703.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,665.32 : 38,174.82 = 15,728.68 : x
  2. Step 2: Convert to fraction form
    27,665.32/38,174.82 = 15,728.68/x
  3. Step 3: Cross multiply
    27,665.32x = 38,174.82 × 15,728.68
  4. Step 4: Simplify right side
    27,665.32x = 600,439,527.84
  5. Step 5: Solve for x
    x = 600,439,527.84/27,665.32
  6. Step 6: Final answer
    x = 21,703.69

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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.