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Finding the Fourth Proportional to 10,223.43, 15,333.19 and 3,202.38

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Solution

The fourth proportional to 10,223.43, 15,333.19 and 3,202.38 is: 4,802.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.43 : 15,333.19 = 3,202.38 : x
  2. Step 2: Convert to fraction form
    10,223.43/15,333.19 = 3,202.38/x
  3. Step 3: Cross multiply
    10,223.43x = 15,333.19 × 3,202.38
  4. Step 4: Simplify right side
    10,223.43x = 49,102,700.99
  5. Step 5: Solve for x
    x = 49,102,700.99/10,223.43
  6. Step 6: Final answer
    x = 4,802.96

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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.