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Finding the Fourth Proportional to 18,641.41, 25,724.39 and 10,678.10

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Solution

The fourth proportional to 18,641.41, 25,724.39 and 10,678.10 is: 14,735.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,641.41 : 25,724.39 = 10,678.10 : x
  2. Step 2: Convert to fraction form
    18,641.41/25,724.39 = 10,678.10/x
  3. Step 3: Cross multiply
    18,641.41x = 25,724.39 × 10,678.10
  4. Step 4: Simplify right side
    18,641.41x = 274,687,426.85
  5. Step 5: Solve for x
    x = 274,687,426.85/18,641.41
  6. Step 6: Final answer
    x = 14,735.34

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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.