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Finding the Fourth Proportional to 25,142, 34,695.96 and 13,965.04

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Solution

The fourth proportional to 25,142, 34,695.96 and 13,965.04 is: 19,271.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,142 : 34,695.96 = 13,965.04 : x
  2. Step 2: Convert to fraction form
    25,142/34,695.96 = 13,965.04/x
  3. Step 3: Cross multiply
    25,142x = 34,695.96 × 13,965.04
  4. Step 4: Simplify right side
    25,142x = 484,530,469.24
  5. Step 5: Solve for x
    x = 484,530,469.24/25,142
  6. Step 6: Final answer
    x = 19,271.76

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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.