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Finding the Fourth Proportional to 12,225.16, 18,343.20 and 5,647.82

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Solution

The fourth proportional to 12,225.16, 18,343.20 and 5,647.82 is: 8,474.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.16 : 18,343.20 = 5,647.82 : x
  2. Step 2: Convert to fraction form
    12,225.16/18,343.20 = 5,647.82/x
  3. Step 3: Cross multiply
    12,225.16x = 18,343.20 × 5,647.82
  4. Step 4: Simplify right side
    12,225.16x = 103,599,091.82
  5. Step 5: Solve for x
    x = 103,599,091.82/12,225.16
  6. Step 6: Final answer
    x = 8,474.26

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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.