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Finding the Fourth Proportional to 18,381.84, 25,372.37 and 10,830.61

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Solution

The fourth proportional to 18,381.84, 25,372.37 and 10,830.61 is: 14,949.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,381.84 : 25,372.37 = 10,830.61 : x
  2. Step 2: Convert to fraction form
    18,381.84/25,372.37 = 10,830.61/x
  3. Step 3: Cross multiply
    18,381.84x = 25,372.37 × 10,830.61
  4. Step 4: Simplify right side
    18,381.84x = 274,798,117.38
  5. Step 5: Solve for x
    x = 274,798,117.38/18,381.84
  6. Step 6: Final answer
    x = 14,949.44

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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.