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Finding the Fourth Proportional to 27,586.16, 38,082.12 and 16,984.88

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Solution

The fourth proportional to 27,586.16, 38,082.12 and 16,984.88 is: 23,447.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,586.16 : 38,082.12 = 16,984.88 : x
  2. Step 2: Convert to fraction form
    27,586.16/38,082.12 = 16,984.88/x
  3. Step 3: Cross multiply
    27,586.16x = 38,082.12 × 16,984.88
  4. Step 4: Simplify right side
    27,586.16x = 646,820,238.35
  5. Step 5: Solve for x
    x = 646,820,238.35/27,586.16
  6. Step 6: Final answer
    x = 23,447.27

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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.