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Finding the Fourth Proportional to 12,223.62, 18,342.54 and 5,203.26

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Solution

The fourth proportional to 12,223.62, 18,342.54 and 5,203.26 is: 7,807.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223.62 : 18,342.54 = 5,203.26 : x
  2. Step 2: Convert to fraction form
    12,223.62/18,342.54 = 5,203.26/x
  3. Step 3: Cross multiply
    12,223.62x = 18,342.54 × 5,203.26
  4. Step 4: Simplify right side
    12,223.62x = 95,441,004.68
  5. Step 5: Solve for x
    x = 95,441,004.68/12,223.62
  6. Step 6: Final answer
    x = 7,807.92

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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.