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Finding the Fourth Proportional to 18,684.20, 25,783.41 and 10,186.14

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Solution

The fourth proportional to 18,684.20, 25,783.41 and 10,186.14 is: 14,056.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,684.20 : 25,783.41 = 10,186.14 : x
  2. Step 2: Convert to fraction form
    18,684.20/25,783.41 = 10,186.14/x
  3. Step 3: Cross multiply
    18,684.20x = 25,783.41 × 10,186.14
  4. Step 4: Simplify right side
    18,684.20x = 262,633,423.94
  5. Step 5: Solve for x
    x = 262,633,423.94/18,684.20
  6. Step 6: Final answer
    x = 14,056.44

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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.