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Finding the Fourth Proportional to 18,563, 25,616.94 and 10,179.50

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Solution

The fourth proportional to 18,563, 25,616.94 and 10,179.50 is: 14,047.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,563 : 25,616.94 = 10,179.50 : x
  2. Step 2: Convert to fraction form
    18,563/25,616.94 = 10,179.50/x
  3. Step 3: Cross multiply
    18,563x = 25,616.94 × 10,179.50
  4. Step 4: Simplify right side
    18,563x = 260,767,640.73
  5. Step 5: Solve for x
    x = 260,767,640.73/18,563
  6. Step 6: Final answer
    x = 14,047.71

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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.