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Finding the Fourth Proportional to 27,665.64, 38,175.93 and 15,728.31

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Solution

The fourth proportional to 27,665.64, 38,175.93 and 15,728.31 is: 21,703.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,665.64 : 38,175.93 = 15,728.31 : x
  2. Step 2: Convert to fraction form
    27,665.64/38,175.93 = 15,728.31/x
  3. Step 3: Cross multiply
    27,665.64x = 38,175.93 × 15,728.31
  4. Step 4: Simplify right side
    27,665.64x = 600,442,861.58
  5. Step 5: Solve for x
    x = 600,442,861.58/27,665.64
  6. Step 6: Final answer
    x = 21,703.56

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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.