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Finding the Fourth Proportional to 18,206.10, 25,123.34 and 10,247.86

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Solution

The fourth proportional to 18,206.10, 25,123.34 and 10,247.86 is: 14,141.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,206.10 : 25,123.34 = 10,247.86 : x
  2. Step 2: Convert to fraction form
    18,206.10/25,123.34 = 10,247.86/x
  3. Step 3: Cross multiply
    18,206.10x = 25,123.34 × 10,247.86
  4. Step 4: Simplify right side
    18,206.10x = 257,460,471.05
  5. Step 5: Solve for x
    x = 257,460,471.05/18,206.10
  6. Step 6: Final answer
    x = 14,141.44

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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.