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Finding the Fourth Proportional to 18,123.24, 25,010.25 and 10,165.30

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Solution

The fourth proportional to 18,123.24, 25,010.25 and 10,165.30 is: 14,028.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,123.24 : 25,010.25 = 10,165.30 : x
  2. Step 2: Convert to fraction form
    18,123.24/25,010.25 = 10,165.30/x
  3. Step 3: Cross multiply
    18,123.24x = 25,010.25 × 10,165.30
  4. Step 4: Simplify right side
    18,123.24x = 254,236,650.86
  5. Step 5: Solve for x
    x = 254,236,650.86/18,123.24
  6. Step 6: Final answer
    x = 14,028.21

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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.