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Finding the Fourth Proportional to 18,561.72, 25,616.34 and 10,178.22

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Solution

The fourth proportional to 18,561.72, 25,616.34 and 10,178.22 is: 14,046.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,561.72 : 25,616.34 = 10,178.22 : x
  2. Step 2: Convert to fraction form
    18,561.72/25,616.34 = 10,178.22/x
  3. Step 3: Cross multiply
    18,561.72x = 25,616.34 × 10,178.22
  4. Step 4: Simplify right side
    18,561.72x = 260,728,744.11
  5. Step 5: Solve for x
    x = 260,728,744.11/18,561.72
  6. Step 6: Final answer
    x = 14,046.58

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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.