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Finding the Fourth Proportional to 27,596.54, 38,082.16 and 15,659.16

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Solution

The fourth proportional to 27,596.54, 38,082.16 and 15,659.16 is: 21,609.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,596.54 : 38,082.16 = 15,659.16 : x
  2. Step 2: Convert to fraction form
    27,596.54/38,082.16 = 15,659.16/x
  3. Step 3: Cross multiply
    27,596.54x = 38,082.16 × 15,659.16
  4. Step 4: Simplify right side
    27,596.54x = 596,334,636.59
  5. Step 5: Solve for x
    x = 596,334,636.59/27,596.54
  6. Step 6: Final answer
    x = 21,609.04

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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.