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Finding the Fourth Proportional to 12,233.58, 18,357.29 and 5,212.86

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Solution

The fourth proportional to 12,233.58, 18,357.29 and 5,212.86 is: 7,822.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233.58 : 18,357.29 = 5,212.86 : x
  2. Step 2: Convert to fraction form
    12,233.58/18,357.29 = 5,212.86/x
  3. Step 3: Cross multiply
    12,233.58x = 18,357.29 × 5,212.86
  4. Step 4: Simplify right side
    12,233.58x = 95,693,907.39
  5. Step 5: Solve for x
    x = 95,693,907.39/12,233.58
  6. Step 6: Final answer
    x = 7,822.23

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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.