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Finding the Fourth Proportional to 12,235.81, 18,343.12 and 7,295.07

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Solution

The fourth proportional to 12,235.81, 18,343.12 and 7,295.07 is: 10,936.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235.81 : 18,343.12 = 7,295.07 : x
  2. Step 2: Convert to fraction form
    12,235.81/18,343.12 = 7,295.07/x
  3. Step 3: Cross multiply
    12,235.81x = 18,343.12 × 7,295.07
  4. Step 4: Simplify right side
    12,235.81x = 133,814,328.62
  5. Step 5: Solve for x
    x = 133,814,328.62/12,235.81
  6. Step 6: Final answer
    x = 10,936.29

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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.