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Finding the Fourth Proportional to 18,376.42, 25,361.34 and 10,825.12

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Solution

The fourth proportional to 18,376.42, 25,361.34 and 10,825.12 is: 14,939.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,376.42 : 25,361.34 = 10,825.12 : x
  2. Step 2: Convert to fraction form
    18,376.42/25,361.34 = 10,825.12/x
  3. Step 3: Cross multiply
    18,376.42x = 25,361.34 × 10,825.12
  4. Step 4: Simplify right side
    18,376.42x = 274,539,494.74
  5. Step 5: Solve for x
    x = 274,539,494.74/18,376.42
  6. Step 6: Final answer
    x = 14,939.77

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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.