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Finding the Fourth Proportional to 18,822.38, 25,974.15 and 10,438.70

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Solution

The fourth proportional to 18,822.38, 25,974.15 and 10,438.70 is: 14,405.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,822.38 : 25,974.15 = 10,438.70 : x
  2. Step 2: Convert to fraction form
    18,822.38/25,974.15 = 10,438.70/x
  3. Step 3: Cross multiply
    18,822.38x = 25,974.15 × 10,438.70
  4. Step 4: Simplify right side
    18,822.38x = 271,136,359.61
  5. Step 5: Solve for x
    x = 271,136,359.61/18,822.38
  6. Step 6: Final answer
    x = 14,405.00

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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.