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Finding the Fourth Proportional to 22,829.70, 34,234.45 and 10,349.22

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Solution

The fourth proportional to 22,829.70, 34,234.45 and 10,349.22 is: 15,519.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,829.70 : 34,234.45 = 10,349.22 : x
  2. Step 2: Convert to fraction form
    22,829.70/34,234.45 = 10,349.22/x
  3. Step 3: Cross multiply
    22,829.70x = 34,234.45 × 10,349.22
  4. Step 4: Simplify right side
    22,829.70x = 354,299,764.57
  5. Step 5: Solve for x
    x = 354,299,764.57/22,829.70
  6. Step 6: Final answer
    x = 15,519.25

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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.