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Finding the Fourth Proportional to 12,317.20, 18,478.20 and 5,297.20

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Solution

The fourth proportional to 12,317.20, 18,478.20 and 5,297.20 is: 7,946.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,317.20 : 18,478.20 = 5,297.20 : x
  2. Step 2: Convert to fraction form
    12,317.20/18,478.20 = 5,297.20/x
  3. Step 3: Cross multiply
    12,317.20x = 18,478.20 × 5,297.20
  4. Step 4: Simplify right side
    12,317.20x = 97,882,721.04
  5. Step 5: Solve for x
    x = 97,882,721.04/12,317.20
  6. Step 6: Final answer
    x = 7,946.83

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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.