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Finding the Fourth Proportional to 12,223.68, 18,333.14 and 5,202.36

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Solution

The fourth proportional to 12,223.68, 18,333.14 and 5,202.36 is: 7,802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223.68 : 18,333.14 = 5,202.36 : x
  2. Step 2: Convert to fraction form
    12,223.68/18,333.14 = 5,202.36/x
  3. Step 3: Cross multiply
    12,223.68x = 18,333.14 × 5,202.36
  4. Step 4: Simplify right side
    12,223.68x = 95,375,594.21
  5. Step 5: Solve for x
    x = 95,375,594.21/12,223.68
  6. Step 6: Final answer
    x = 7,802.53

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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.