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Finding the Fourth Proportional to 22,898.89, 34,361.33 and 9,749.89

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Solution

The fourth proportional to 22,898.89, 34,361.33 and 9,749.89 is: 14,630.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,898.89 : 34,361.33 = 9,749.89 : x
  2. Step 2: Convert to fraction form
    22,898.89/34,361.33 = 9,749.89/x
  3. Step 3: Cross multiply
    22,898.89x = 34,361.33 × 9,749.89
  4. Step 4: Simplify right side
    22,898.89x = 335,019,187.75
  5. Step 5: Solve for x
    x = 335,019,187.75/22,898.89
  6. Step 6: Final answer
    x = 14,630.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.