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Finding the Fourth Proportional to 18,433.38, 25,438.14 and 10,777.08

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Solution

The fourth proportional to 18,433.38, 25,438.14 and 10,777.08 is: 14,872.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,433.38 : 25,438.14 = 10,777.08 : x
  2. Step 2: Convert to fraction form
    18,433.38/25,438.14 = 10,777.08/x
  3. Step 3: Cross multiply
    18,433.38x = 25,438.14 × 10,777.08
  4. Step 4: Simplify right side
    18,433.38x = 274,148,869.83
  5. Step 5: Solve for x
    x = 274,148,869.83/18,433.38
  6. Step 6: Final answer
    x = 14,872.41

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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.