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Finding the Fourth Proportional to 18,223.14, 25,148.79 and 10,266.24

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Solution

The fourth proportional to 18,223.14, 25,148.79 and 10,266.24 is: 14,167.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,223.14 : 25,148.79 = 10,266.24 : x
  2. Step 2: Convert to fraction form
    18,223.14/25,148.79 = 10,266.24/x
  3. Step 3: Cross multiply
    18,223.14x = 25,148.79 × 10,266.24
  4. Step 4: Simplify right side
    18,223.14x = 258,183,513.85
  5. Step 5: Solve for x
    x = 258,183,513.85/18,223.14
  6. Step 6: Final answer
    x = 14,167.89

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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.