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Finding the Fourth Proportional to 22,900, 34,354.90 and 7,104.69

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Solution

The fourth proportional to 22,900, 34,354.90 and 7,104.69 is: 10,658.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,900 : 34,354.90 = 7,104.69 : x
  2. Step 2: Convert to fraction form
    22,900/34,354.90 = 7,104.69/x
  3. Step 3: Cross multiply
    22,900x = 34,354.90 × 7,104.69
  4. Step 4: Simplify right side
    22,900x = 244,080,914.48
  5. Step 5: Solve for x
    x = 244,080,914.48/22,900
  6. Step 6: Final answer
    x = 10,658.56

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