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Finding the Fourth Proportional to 18,642.29, 25,725.59 and 10,678.97

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Solution

The fourth proportional to 18,642.29, 25,725.59 and 10,678.97 is: 14,736.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642.29 : 25,725.59 = 10,678.97 : x
  2. Step 2: Convert to fraction form
    18,642.29/25,725.59 = 10,678.97/x
  3. Step 3: Cross multiply
    18,642.29x = 25,725.59 × 10,678.97
  4. Step 4: Simplify right side
    18,642.29x = 274,722,803.84
  5. Step 5: Solve for x
    x = 274,722,803.84/18,642.29
  6. Step 6: Final answer
    x = 14,736.54

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