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Finding the Fourth Proportional to 12,233.20, 18,349.80 and 9,317.20

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Solution

The fourth proportional to 12,233.20, 18,349.80 and 9,317.20 is: 13,975.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233.20 : 18,349.80 = 9,317.20 : x
  2. Step 2: Convert to fraction form
    12,233.20/18,349.80 = 9,317.20/x
  3. Step 3: Cross multiply
    12,233.20x = 18,349.80 × 9,317.20
  4. Step 4: Simplify right side
    12,233.20x = 170,968,756.56
  5. Step 5: Solve for x
    x = 170,968,756.56/12,233.20
  6. Step 6: Final answer
    x = 13,975.80

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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.