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Finding the Fourth Proportional to 18,230.16, 25,156.92 and 10,274

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Solution

The fourth proportional to 18,230.16, 25,156.92 and 10,274 is: 14,177.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,230.16 : 25,156.92 = 10,274 : x
  2. Step 2: Convert to fraction form
    18,230.16/25,156.92 = 10,274/x
  3. Step 3: Cross multiply
    18,230.16x = 25,156.92 × 10,274
  4. Step 4: Simplify right side
    18,230.16x = 258,462,196.08
  5. Step 5: Solve for x
    x = 258,462,196.08/18,230.16
  6. Step 6: Final answer
    x = 14,177.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.