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Finding the Fourth Proportional to 18,540.04, 25,585.54 and 10,156

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Solution

The fourth proportional to 18,540.04, 25,585.54 and 10,156 is: 14,015.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,540.04 : 25,585.54 = 10,156 : x
  2. Step 2: Convert to fraction form
    18,540.04/25,585.54 = 10,156/x
  3. Step 3: Cross multiply
    18,540.04x = 25,585.54 × 10,156
  4. Step 4: Simplify right side
    18,540.04x = 259,846,744.24
  5. Step 5: Solve for x
    x = 259,846,744.24/18,540.04
  6. Step 6: Final answer
    x = 14,015.44

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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.